Analysis of biodiversity data

Setup

SAD curves

We can obtain the Species Abundance Distribution for our samples To use the library {sads}, and the example data on moth abundance.

data(moths)
moths
##   [1]    1    1    1    1    1    1    1    1    1    1    1    1    1    1    1
##  [16]    1    1    1    1    1    1    1    1    1    1    1    1    1    1    1
##  [31]    1    1    1    1    1    2    2    2    2    2    2    2    2    2    2
##  [46]    2    3    3    3    3    3    3    3    3    3    3    3    3    3    3
##  [61]    3    4    4    4    4    4    4    4    4    4    4    4    4    4    4
##  [76]    5    5    5    5    5    5    5    5    5    5    6    6    6    6    6
##  [91]    6    6    6    6    6    6    7    7    7    7    7    8    8    8    8
## [106]    8    8    9    9    9    9   10   10   10   10   11   11   12   12   13
## [121]   13   13   13   13   14   14   15   15   15   15   16   16   16   17   17
## [136]   17   18   18   18   19   19   19   20   20   20   20   21   22   22   22
## [151]   23   23   23   24   25   25   25   26   27   28   28   28   29   29   32
## [166]   34   34   36   36   36   37   37   43   43   44   44   45   49   49   49
## [181]   51   51   51   51   52   53   54   54   57   58   58   60   60   60   61
## [196]   64   67   73   76   76   78   84   89   96   99  109  112  120  122  129
## [211]  135  141  148  149  151  154  177  181  187  190  199  211  221  226  235
## [226]  239  244  246  282  305  306  333  464  560  572  589  604  743  823 2349
?moths

Preston plot

First, we are going to obtain the Preston plot, also known as octaves. This plot represents the number of species in classes of logarithm of abundances at base 2.

moths.oc <- octav(moths)
moths.oc
##    octave upper Freq
## 1       0     1   35
## 2       1     2   11
## 3       2     4   29
## 4       3     8   32
## 5       4    16   26
## 6       5    32   32
## 7       6    64   31
## 8       7   128   13
## 9       8   256   19
## 10      9   512    5
## 11     10  1024    6
## 12     11  2048    0
## 13     12  4096    1
## 14     13  8192    0
plot(moths.oc)

Whittaker diagram

We can also obtain the Whittaker plot for our data. This is the rank-abundance diagram

# for the moths data
moths.rad <- rad(moths)
plot(moths.rad, ylab="Number of individuals")

Species Abundance Distributions: fitting curves

We are going to fit some curves to the rank abundance plot

# build the model
moths.ge <- fitsad(x=moths, sad="geom") # geometric distribution
moths.ls <- fitsad(x=moths, sad="ls") # log series distribution
moths.ln <- fitsad(x=moths, sad="lnorm") #log-normal distribution

# get rank abundance objects
moths.ge.rad <- radpred(moths.ge)
moths.ls.rad <- radpred(moths.ls)
moths.ln.rad <- radpred(moths.ln)


# Plot the curves
plot(moths.ln.rad)

plot(moths.ln.rad, xlab = "Rank", ylab = "Abundance", log = "y",
     type = "l", col = "green", lty = 1, lwd = 6)

# We can superimpose the curve to the rank plot
plot(moths.rad)
lines(moths.ge.rad, col="red")
lines(moths.ls.rad, col="blue")
lines(moths.ln.rad, col="green")
legend("topright",c("Geometric", "Logseries", "lognormal"),lty=1, col=c("red", "blue", "green"))

## looking at the fits
logLik(moths.ge)
## 'log Lik.' -1240.137 (df=1)
logLik(moths.ls)
## 'log Lik.' -1087.713 (df=1)
logLik(moths.ln)
## 'log Lik.' -1097.723 (df=2)

Alpha diversity

Shannon index

Let us calculate Shannon index using example data from the power point

birds1 <- data.frame(Species = c('BlueTit', 'Robin', 'Magpie',
                                     'GreatTit'),
                         Abundance = rep(9, 4))
birds1
##    Species Abundance
## 1  BlueTit         9
## 2    Robin         9
## 3   Magpie         9
## 4 GreatTit         9
## now let us get the pi, ln(pi), N and S to calculate Shannon index
N <- sum(birds1$Abundance)
S <- nrow(birds1)

pi <- birds1$Abundance/N
lnpi <- log(pi)

H <- -sum(pi*lnpi)
H
## [1] 1.386294

Community structure: {vegan} package

vegdist() function allows calculating multiple community dissimilarity indices.

# 1. transpose the data
birds1.transpose <- as.data.frame(t(birds1[, -1]))
colnames(birds1.transpose) <- birds1$Species
birds1.transpose
##   BlueTit Robin Magpie GreatTit
## 1       9     9      9        9
# Get diversity value
?diversity
H_vegan <- diversity(birds1.transpose, index = "shannon")
H_vegan
## [1] 1.386294

Properties of Diversity indices

Shannon diversity vs Hill numbers

If we have two communities with no species in common, the diversity of both together should be the sum of the diversities of each one

# We create a second community with no species in common with the first one
birds2 <- data.frame(Species = c('Sparrow', 'Dove', 'Crow'),
                         Abundance = c(4,5,20))
birds2 
##   Species Abundance
## 1 Sparrow         4
## 2    Dove         5
## 3    Crow        20
# the transpose matrix for the analysis
birds2.transpose <- as.data.frame(t(birds2[, -1]))
colnames(birds2.transpose) <- birds2$Species
birds2.transpose
##   Sparrow Dove Crow
## 1       4    5   20
# Both communities in the same table 
# transpose data and get sums 

birds.both <- merge(birds1, birds2, by = 'Species', all = T)
birds.both$Abundance.x[is.na(birds.both$Abundance.x)] <- 0
birds.both$Abundance.y[is.na(birds.both$Abundance.y)] <- 0
birds.both
##    Species Abundance.x Abundance.y
## 1  BlueTit           9           0
## 2     Crow           0          20
## 3     Dove           0           5
## 4 GreatTit           9           0
## 5   Magpie           9           0
## 6    Robin           9           0
## 7  Sparrow           0           4
birds.all <- rowSums(birds.both[,2:3])
birds.all
## [1]  9 20  5  9  9  9  4
both.trans <- as.data.frame(t(birds.both[, -1]))

colnames(both.trans) <- birds.both$Species
rownames(both.trans) <- c("birds1", "birds2")
both.trans
##        BlueTit Crow Dove GreatTit Magpie Robin Sparrow
## birds1       9    0    0        9      9     9       0
## birds2       0   20    5        0      0     0       4
all.trans <- colSums(both.trans)

# shannon diversity for each sample and for the sum
H1 <- diversity(both.trans, index = "shannon")
H2 <- diversity(all.trans, index = "shannon")

H1
##    birds1    birds2 
## 1.3862944 0.8325713
H2
## [1] 1.826586
# Hill number order 1 (library iNEXT)
HN1.birds1 <- iNEXT(birds1$Abundance)
HN1.birds1$AsyEst
##                   Observed Estimator  Est_s.e. 95% Lower 95% Upper
## Species Richness         4  4.000000 0.0000000  4.000000  4.000000
## Shannon diversity        4  4.174206 0.1587823  3.862999  4.485414
## Simpson diversity        4  4.375000 0.2868939  3.812698  4.937302
HN1.birds2 <- iNEXT(birds2$Abundance)
HN1.birds2$AsyEst
##                   Observed Estimator  Est_s.e. 95% Lower 95% Upper
## Species Richness  3.000000  3.000000 0.1859923  2.635462  3.364538
## Shannon diversity 2.299223  2.383059 0.3079861  1.779418  2.986701
## Simpson diversity 1.907029  1.970874 0.3529313  1.279141  2.662607
HN1.birdsboth <- iNEXT(birds.all)
HN1.birdsboth$AsyEst
##                   Observed Estimator  Est_s.e. 95% Lower 95% Upper
## Species Richness  7.000000  7.000000 0.1493947  6.707192  7.292808
## Shannon diversity 6.212639  6.513826 0.3465891  5.834524  7.193129
## Simpson diversity 5.522876  5.942857 0.5924830  4.781612  7.104102

Hill Numbers

Get the Hill Number with q = 0 (Species richness)

Load data from the library about spider samples in two locations

data(spider)
str(spider)
## List of 2
##  $ Girdled: num [1:26] 46 22 17 15 15 9 8 6 6 4 ...
##  $ Logged : num [1:37] 88 22 16 15 13 10 8 8 7 7 ...
?spider
example1 <- iNEXT(spider, q = 0, datatype = "abundance")

example1$DataInfo
##   Assemblage   n S.obs     SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1    Girdled 168    26 0.9289 12  4  0  1  0  2  0  1  1   0
## 2     Logged 252    37 0.9446 14  4  4  3  1  0  3  2  0   1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
example1$iNextEst
## $size_based
##    Assemblage   m        Method Order.q        qD    qD.LCL    qD.UCL        SC
## 1     Girdled   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1223268
## 2     Girdled  10   Rarefaction       0  6.478617  5.996559  6.960675 0.5969308
## 3     Girdled  19   Rarefaction       0  9.450323  8.546105 10.354540 0.7380651
## 4     Girdled  28   Rarefaction       0 11.514220 10.228104 12.800335 0.8034337
## 5     Girdled  37   Rarefaction       0 13.126817 11.485374 14.768261 0.8389628
## 6     Girdled  47   Rarefaction       0 14.622424 12.611554 16.633294 0.8623491
## 7     Girdled  56   Rarefaction       0 15.802849 13.477385 18.128312 0.8760357
## 8     Girdled  65   Rarefaction       0 16.877170 14.250931 19.503409 0.8858194
## 9     Girdled  74   Rarefaction       0 17.873934 14.958813 20.789055 0.8931774
## 10    Girdled  84   Rarefaction       0 18.912360 15.688432 22.136287 0.8995141
## 11    Girdled  93   Rarefaction       0 19.797701 16.305365 23.290037 0.9041168
## 12    Girdled 102   Rarefaction       0 20.644613 16.891559 24.397666 0.9080200
## 13    Girdled 111   Rarefaction       0 21.458439 17.451104 25.465773 0.9114464
## 14    Girdled 120   Rarefaction       0 22.242813 17.986409 26.499218 0.9145496
## 15    Girdled 130   Rarefaction       0 23.082755 18.554265 27.611245 0.9177469
## 16    Girdled 139   Rarefaction       0 23.812028 19.041584 28.582471 0.9204781
## 17    Girdled 148   Rarefaction       0 24.517097 19.506291 29.527903 0.9231226
## 18    Girdled 157   Rarefaction       0 25.198592 19.947893 30.449292 0.9257162
## 19    Girdled 167   Rarefaction       0 25.928571 20.410521 31.446622 0.9285714
## 20    Girdled 168      Observed       0 26.000000 20.455112 31.544888 0.9288554
## 21    Girdled 169 Extrapolation       0 26.071145 20.499394 31.642895 0.9291383
## 22    Girdled 177 Extrapolation       0 26.630211 20.842592 32.417830 0.9313612
## 23    Girdled 186 Extrapolation       0 27.238226 21.205531 33.270920 0.9337788
## 24    Girdled 195 Extrapolation       0 27.824825 21.544535 34.105114 0.9361112
## 25    Girdled 204 Extrapolation       0 28.390763 21.860296 34.921230 0.9383615
## 26    Girdled 212 Extrapolation       0 28.877064 22.122076 35.632051 0.9402951
## 27    Girdled 221 Extrapolation       0 29.405941 22.396060 36.415821 0.9423979
## 28    Girdled 230 Extrapolation       0 29.916190 22.649138 37.183242 0.9444268
## 29    Girdled 239 Extrapolation       0 30.408468 22.882183 37.934752 0.9463841
## 30    Girdled 248 Extrapolation       0 30.883406 23.096079 38.670734 0.9482726
## 31    Girdled 256 Extrapolation       0 31.291513 23.270846 39.312180 0.9498953
## 32    Girdled 265 Extrapolation       0 31.735349 23.450968 40.019730 0.9516600
## 33    Girdled 274 Extrapolation       0 32.163554 23.614458 40.712650 0.9533626
## 34    Girdled 283 Extrapolation       0 32.576676 23.762149 41.391204 0.9550052
## 35    Girdled 292 Extrapolation       0 32.975248 23.894852 42.055644 0.9565900
## 36    Girdled 300 Extrapolation       0 33.317733 24.000860 42.634605 0.9579518
## 37    Girdled 309 Extrapolation       0 33.690203 24.107361 43.273045 0.9594328
## 38    Girdled 318 Extrapolation       0 34.049555 24.201049 43.898061 0.9608616
## 39    Girdled 327 Extrapolation       0 34.396250 24.282613 44.509886 0.9622401
## 40    Girdled 336 Extrapolation       0 34.730733 24.352715 45.108752 0.9635701
## 41     Logged   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1445014
## 42     Logged  14   Rarefaction       0  8.353329  7.759964  8.946695 0.5883461
## 43     Logged  28   Rarefaction       0 13.222439 12.167966 14.276913 0.7118410
## 44     Logged  42   Rarefaction       0 16.765525 15.296838 18.234213 0.7809656
## 45     Logged  56   Rarefaction       0 19.532844 17.706318 21.359371 0.8236635
## 46     Logged  70   Rarefaction       0 21.804004 19.669338 23.938670 0.8521804
## 47     Logged  84   Rarefaction       0 23.734513 21.329525 26.139501 0.8724155
## 48     Logged  98   Rarefaction       0 25.418159 22.770323 28.065996 0.8874459
## 49     Logged 112   Rarefaction       0 26.915447 24.044550 29.786343 0.8990090
## 50     Logged 126   Rarefaction       0 28.267510 25.187763 31.347256 0.9081562
## 51     Logged 139   Rarefaction       0 29.418556 26.153910 32.683203 0.9150769
## 52     Logged 153   Rarefaction       0 30.565961 27.108743 34.023179 0.9212585
## 53     Logged 167   Rarefaction       0 31.633749 27.988010 35.279488 0.9264196
## 54     Logged 181   Rarefaction       0 32.634744 28.802152 36.467335 0.9307716
## 55     Logged 195   Rarefaction       0 33.579251 29.559474 37.599027 0.9344627
## 56     Logged 209   Rarefaction       0 34.475787 30.266855 38.684719 0.9376004
## 57     Logged 223   Rarefaction       0 35.331544 30.930193 39.732894 0.9402668
## 58     Logged 237   Rarefaction       0 36.152671 31.554676 40.750665 0.9425289
## 59     Logged 251   Rarefaction       0 36.944444 32.144918 41.743971 0.9444444
## 60     Logged 252      Observed       0 37.000000 32.185879 41.814121 0.9445706
## 61     Logged 253 Extrapolation       0 37.055429 32.226687 41.884172 0.9446965
## 62     Logged 266 Extrapolation       0 37.764657 32.743187 42.786128 0.9463075
## 63     Logged 279 Extrapolation       0 38.453226 33.233653 43.672798 0.9478715
## 64     Logged 292 Extrapolation       0 39.121736 33.698135 44.545337 0.9493900
## 65     Logged 305 Extrapolation       0 39.770774 34.136812 45.404735 0.9508643
## 66     Logged 319 Extrapolation       0 40.448609 34.580730 46.316488 0.9524039
## 67     Logged 332 Extrapolation       0 41.058995 34.966931 47.151059 0.9537904
## 68     Logged 345 Extrapolation       0 41.651601 35.328637 47.974565 0.9551365
## 69     Logged 358 Extrapolation       0 42.226944 35.666476 48.787413 0.9564433
## 70     Logged 371 Extrapolation       0 42.785528 35.981146 49.589910 0.9577121
## 71     Logged 385 Extrapolation       0 43.368897 36.294977 50.442816 0.9590372
## 72     Logged 398 Extrapolation       0 43.894216 36.563984 51.224448 0.9602304
## 73     Logged 411 Extrapolation       0 44.404233 36.812254 51.996212 0.9613889
## 74     Logged 424 Extrapolation       0 44.899393 37.040623 52.758163 0.9625136
## 75     Logged 437 Extrapolation       0 45.380130 37.249931 53.510329 0.9636056
## 76     Logged 451 Extrapolation       0 45.882197 37.454978 54.309416 0.9647460
## 77     Logged 464 Extrapolation       0 46.334305 37.627349 55.041261 0.9657729
## 78     Logged 477 Extrapolation       0 46.773243 37.783183 55.763303 0.9667699
## 79     Logged 490 Extrapolation       0 47.199395 37.923265 56.475526 0.9677379
## 80     Logged 504 Extrapolation       0 47.644456 38.057377 57.231535 0.9687488
##       SC.LCL    SC.UCL
## 1  0.0898503 0.1548033
## 2  0.5429426 0.6509191
## 3  0.6897089 0.7864213
## 4  0.7589898 0.8478777
## 5  0.7975067 0.8804189
## 6  0.8232294 0.9014689
## 7  0.8384997 0.9135718
## 8  0.8495720 0.9220667
## 9  0.8579884 0.9283665
## 10 0.8652545 0.9337736
## 11 0.8704860 0.9377475
## 12 0.8748373 0.9412027
## 13 0.8785482 0.9443446
## 14 0.8817890 0.9473103
## 15 0.8849834 0.9505104
## 16 0.8875832 0.9533730
## 17 0.8899816 0.9562637
## 18 0.8922183 0.9592141
## 19 0.8945492 0.9625937
## 20 0.8947794 0.9629315
## 21 0.8950088 0.9632679
## 22 0.8968189 0.9659036
## 23 0.8988133 0.9687443
## 24 0.9007751 0.9714473
## 25 0.9027118 0.9740111
## 26 0.9044157 0.9761744
## 27 0.9063146 0.9784813
## 28 0.9081948 0.9806588
## 29 0.9100559 0.9827124
## 30 0.9118969 0.9846483
## 31 0.9135154 0.9862751
## 32 0.9153148 0.9880052
## 33 0.9170900 0.9896352
## 34 0.9188398 0.9911707
## 35 0.9205628 0.9926173
## 36 0.9220709 0.9938327
## 37 0.9237402 0.9951254
## 38 0.9253799 0.9963434
## 39 0.9269891 0.9974912
## 40 0.9285673 0.9985728
## 41 0.1066613 0.1823415
## 42 0.5486415 0.6280507
## 43 0.6758290 0.7478530
## 44 0.7498431 0.8120880
## 45 0.7967810 0.8505460
## 46 0.8283294 0.8760314
## 47 0.8505977 0.8942334
## 48 0.8669827 0.9079090
## 49 0.8794420 0.9185759
## 50 0.8891434 0.9271690
## 51 0.8963252 0.9338287
## 52 0.9025541 0.9399629
## 53 0.9075601 0.9452791
## 54 0.9115985 0.9499447
## 55 0.9148613 0.9540642
## 56 0.9174949 0.9577059
## 57 0.9196130 0.9609206
## 58 0.9213053 0.9637524
## 59 0.9226438 0.9662451
## 60 0.9227286 0.9664126
## 61 0.9228130 0.9665800
## 62 0.9238803 0.9687348
## 63 0.9249051 0.9708380
## 64 0.9259028 0.9728773
## 65 0.9268839 0.9748447
## 66 0.9279303 0.9768776
## 67 0.9288975 0.9786833
## 68 0.9298635 0.9804094
## 69 0.9308299 0.9820567
## 70 0.9317976 0.9836266
## 71 0.9328413 0.9852331
## 72 0.9338115 0.9866493
## 73 0.9347822 0.9879956
## 74 0.9357525 0.9892747
## 75 0.9367217 0.9904894
## 76 0.9377630 0.9917289
## 77 0.9387267 0.9928191
## 78 0.9396864 0.9938535
## 79 0.9406410 0.9948348
## 80 0.9416625 0.9958352
## 
## $coverage_based
##    Assemblage        SC   m        Method Order.q        qD     qD.LCL
## 1     Girdled 0.1223268   1   Rarefaction       0  1.000000  0.8658141
## 2     Girdled 0.5969305  10   Rarefaction       0  6.478611  5.0180001
## 3     Girdled 0.7380650  19   Rarefaction       0  9.450319  7.1665815
## 4     Girdled 0.8034337  28   Rarefaction       0 11.514219  8.3778049
## 5     Girdled 0.8389628  37   Rarefaction       0 13.126816  9.1371208
## 6     Girdled 0.8623492  47   Rarefaction       0 14.622425  9.7769474
## 7     Girdled 0.8760358  56   Rarefaction       0 15.802851 10.2954513
## 8     Girdled 0.8858194  65   Rarefaction       0 16.877170 10.7950049
## 9     Girdled 0.8931774  74   Rarefaction       0 17.873934 11.2772973
## 10    Girdled 0.8995141  84   Rarefaction       0 18.912361 11.7778834
## 11    Girdled 0.9041168  93   Rarefaction       0 19.797701 12.1646902
## 12    Girdled 0.9080200 102   Rarefaction       0 20.644611 12.4861369
## 13    Girdled 0.9114464 111   Rarefaction       0 21.458439 12.8050464
## 14    Girdled 0.9145496 120   Rarefaction       0 22.242813 13.1215943
## 15    Girdled 0.9177469 130   Rarefaction       0 23.082756 13.4359347
## 16    Girdled 0.9204781 139   Rarefaction       0 23.812027 13.5935436
## 17    Girdled 0.9231226 148   Rarefaction       0 24.517096 13.6997083
## 18    Girdled 0.9257162 157   Rarefaction       0 25.198591 13.7593405
## 19    Girdled 0.9285714 166   Rarefaction       0 25.867399 13.7129204
## 20    Girdled 0.9288554 168      Observed       0 26.000000 13.7672706
## 21    Girdled 0.9291383 169 Extrapolation       0 26.071145 13.7649359
## 22    Girdled 0.9313612 177 Extrapolation       0 26.630211 13.7396539
## 23    Girdled 0.9337788 186 Extrapolation       0 27.238226 13.7005697
## 24    Girdled 0.9361112 195 Extrapolation       0 27.824825 13.6501917
## 25    Girdled 0.9383615 204 Extrapolation       0 28.390763 13.5842542
## 26    Girdled 0.9402951 212 Extrapolation       0 28.877064 13.5163987
## 27    Girdled 0.9423979 221 Extrapolation       0 29.405941 13.4344031
## 28    Girdled 0.9444268 230 Extrapolation       0 29.916190 13.3468347
## 29    Girdled 0.9463841 239 Extrapolation       0 30.408468 13.2562973
## 30    Girdled 0.9482726 248 Extrapolation       0 30.883406 13.1684711
## 31    Girdled 0.9498953 256 Extrapolation       0 31.291513 13.0848666
## 32    Girdled 0.9516600 265 Extrapolation       0 31.735349 12.9873037
## 33    Girdled 0.9533626 274 Extrapolation       0 32.163554 12.8857873
## 34    Girdled 0.9550052 283 Extrapolation       0 32.576676 12.7803177
## 35    Girdled 0.9565900 292 Extrapolation       0 32.975248 12.6719581
## 36    Girdled 0.9579518 300 Extrapolation       0 33.317733 12.5739800
## 37    Girdled 0.9594328 309 Extrapolation       0 33.690203 12.4627322
## 38    Girdled 0.9608616 318 Extrapolation       0 34.049555 12.3512772
## 39    Girdled 0.9622401 327 Extrapolation       0 34.396250 12.2402135
## 40    Girdled 0.9635701 336 Extrapolation       0 34.730733 12.1300613
## 41     Logged 0.1445014   1   Rarefaction       0  1.000000  0.8418022
## 42     Logged 0.5883460  14   Rarefaction       0  8.353325  6.5741749
## 43     Logged 0.7118410  28   Rarefaction       0 13.222439 10.7760292
## 44     Logged 0.7809655  42   Rarefaction       0 16.765522 13.7531817
## 45     Logged 0.8236635  56   Rarefaction       0 19.532847 16.0362369
## 46     Logged 0.8521804  70   Rarefaction       0 21.804005 17.8646885
## 47     Logged 0.8724155  84   Rarefaction       0 23.734512 19.3678599
## 48     Logged 0.8874459  98   Rarefaction       0 25.418157 20.6283273
## 49     Logged 0.8990090 112   Rarefaction       0 26.915446 21.6905316
## 50     Logged 0.9081562 126   Rarefaction       0 28.267511 22.5517043
## 51     Logged 0.9150769 139   Rarefaction       0 29.418557 23.1345620
## 52     Logged 0.9212585 153   Rarefaction       0 30.565959 23.5259582
## 53     Logged 0.9264196 167   Rarefaction       0 31.633750 23.5924770
## 54     Logged 0.9307716 181   Rarefaction       0 32.634745 23.3844325
## 55     Logged 0.9344627 195   Rarefaction       0 33.579250 23.0807550
## 56     Logged 0.9376004 209   Rarefaction       0 34.475786 22.7717083
## 57     Logged 0.9402668 223   Rarefaction       0 35.331543 22.5211053
## 58     Logged 0.9425289 237   Rarefaction       0 36.152671 22.3670043
## 59     Logged 0.9444444 250   Rarefaction       0 36.892629 22.2676931
## 60     Logged 0.9445706 252      Observed       0 37.000000 22.3200850
## 61     Logged 0.9446965 253 Extrapolation       0 37.055429 22.3178763
## 62     Logged 0.9463075 266 Extrapolation       0 37.764657 22.3144064
## 63     Logged 0.9478715 279 Extrapolation       0 38.453226 22.3106448
## 64     Logged 0.9493900 292 Extrapolation       0 39.121736 22.3074725
## 65     Logged 0.9508643 305 Extrapolation       0 39.770774 22.3001595
## 66     Logged 0.9524039 319 Extrapolation       0 40.448609 22.2855022
## 67     Logged 0.9537904 332 Extrapolation       0 41.058995 22.2794974
## 68     Logged 0.9551365 345 Extrapolation       0 41.651601 22.2673886
## 69     Logged 0.9564433 358 Extrapolation       0 42.226944 22.2482306
## 70     Logged 0.9577121 371 Extrapolation       0 42.785528 22.2432838
## 71     Logged 0.9590372 385 Extrapolation       0 43.368897 22.2271583
## 72     Logged 0.9602304 398 Extrapolation       0 43.894216 22.2104082
## 73     Logged 0.9613889 411 Extrapolation       0 44.404233 22.1952078
## 74     Logged 0.9625136 424 Extrapolation       0 44.899393 22.1759901
## 75     Logged 0.9636056 437 Extrapolation       0 45.380130 22.1546187
## 76     Logged 0.9647460 451 Extrapolation       0 45.882197 22.1299084
## 77     Logged 0.9657729 464 Extrapolation       0 46.334305 22.1061566
## 78     Logged 0.9667699 477 Extrapolation       0 46.773243 22.0824846
## 79     Logged 0.9677379 490 Extrapolation       0 47.199395 22.0603695
## 80     Logged 0.9687488 504 Extrapolation       0 47.644456 22.0414883
##       qD.UCL
## 1   1.134186
## 2   7.939223
## 3  11.734056
## 4  14.650633
## 5  17.116511
## 6  19.467903
## 7  21.310250
## 8  22.959334
## 9  24.470571
## 10 26.046839
## 11 27.430712
## 12 28.803085
## 13 30.111831
## 14 31.364033
## 15 32.729578
## 16 34.030510
## 17 35.334483
## 18 36.637841
## 19 38.021878
## 20 38.232729
## 21 38.377353
## 22 39.520769
## 23 40.775882
## 24 41.999458
## 25 43.197272
## 26 44.237728
## 27 45.377478
## 28 46.485545
## 29 47.560638
## 30 48.598342
## 31 49.498159
## 32 50.483395
## 33 51.441320
## 34 52.373034
## 35 53.278537
## 36 54.061486
## 37 54.917675
## 38 55.747833
## 39 56.552286
## 40 57.331406
## 41  1.158198
## 42 10.132475
## 43 15.668850
## 44 19.777862
## 45 23.029457
## 46 25.743322
## 47 28.101164
## 48 30.207987
## 49 32.140360
## 50 33.983317
## 51 35.702552
## 52 37.605959
## 53 39.675023
## 54 41.885057
## 55 44.077745
## 56 46.179863
## 57 48.141981
## 58 49.938337
## 59 51.517564
## 60 51.679915
## 61 51.792982
## 62 53.214908
## 63 54.595807
## 64 55.936000
## 65 57.241388
## 66 58.611716
## 67 59.838493
## 68 61.035813
## 69 62.205658
## 70 63.327772
## 71 64.510635
## 72 65.578024
## 73 66.613258
## 74 67.622797
## 75 68.605641
## 76 69.634486
## 77 70.562453
## 78 71.464002
## 79 72.338421
## 80 73.247424
# show asymptotic estimates
example1$AsyEst
##   Assemblage         Diversity  Observed Estimator       s.e.       LCL
## 1    Girdled  Species richness 26.000000 43.892857 17.6719353 26.000000
## 2    Girdled Shannon diversity 12.059650 13.826253  1.3016935 11.274981
## 3    Girdled Simpson diversity  7.840000  8.174825  0.9256366  6.360611
## 4     Logged  Species richness 37.000000 61.402778 33.0109303 37.000000
## 5     Logged Shannon diversity 14.421002 16.337069  1.6484368 13.106192
## 6     Logged Simpson diversity  6.761499  6.920350  0.8827191  5.190252
##          UCL
## 1  78.529214
## 2  16.377526
## 3   9.989039
## 4 126.103012
## 5  19.567945
## 6   8.650448

Rarefaction/extrapolation

Get new values

We can specify the sample size for which we want to rarefy/extrapolate For Species richness, the extrapolation is reliable up to double the reference sample. For q = 1 or 2, the extrapolation can be extended to the asymptote.

We run the code simultaneously for the three Hill numbers:

# We define the number of samples size that we want to use for estimation
m <- c(1, 50, 100, 200, 400)
example2 <- iNEXT(spider, q = c(0,1,2), datatype = "abundance", size = m)
example2$iNextEst 
## $size_based
##    Assemblage   m        Method Order.q        qD    qD.LCL    qD.UCL        SC
## 1     Girdled   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1223268
## 2     Girdled  50   Rarefaction       0 15.030098 13.145811 16.914385 0.8674807
## 3     Girdled 100   Rarefaction       0 20.459426 17.267066 23.651786 0.9072004
## 4     Girdled 167   Rarefaction       0 25.928571 20.996687 30.860456 0.9285714
## 5     Girdled 168      Observed       0 26.000000 21.040217 30.959783 0.9288554
## 6     Girdled 169 Extrapolation       0 26.071145 21.083402 31.058887 0.9291383
## 7     Girdled 200 Extrapolation       0 28.141739 22.258121 34.025356 0.9373713
## 8     Girdled 400 Extrapolation       0 36.792837 24.390282 49.195392 0.9717693
## 9     Girdled   1   Rarefaction       1  1.000000  1.000000  1.000000 0.1223268
## 10    Girdled  50   Rarefaction       1  9.939329  8.475548 11.403110 0.8674807
## 11    Girdled 100   Rarefaction       1 11.266546  9.445495 13.087598 0.9072004
## 12    Girdled 167   Rarefaction       1 12.051422 10.001789 14.101056 0.9285714
## 13    Girdled 168      Observed       1 12.059650 10.007544 14.111757 0.9288554
## 14    Girdled 169 Extrapolation       1 12.067840 10.013270 14.122411 0.9291383
## 15    Girdled 200 Extrapolation       1 12.303742 10.177349 14.430134 0.9373713
## 16    Girdled 400 Extrapolation       1 13.225154 10.788599 15.661709 0.9717693
## 17    Girdled   1   Rarefaction       2  1.000000  1.000000  1.000000 0.1223268
## 18    Girdled  50   Rarefaction       2  7.148973  5.743114  8.554831 0.8674807
## 19    Girdled 100   Rarefaction       2  7.627561  6.022757  9.232365 0.9072004
## 20    Girdled 167   Rarefaction       2  7.838078  6.141802  9.534353 0.9285714
## 21    Girdled 168      Observed       2  7.840000  6.142878  9.537122 0.9288554
## 22    Girdled 169 Extrapolation       2  7.841901  6.143941  9.539860 0.9291383
## 23    Girdled 200 Extrapolation       2  7.891717  6.171746  9.611687 0.9373713
## 24    Girdled 400 Extrapolation       2  8.030777  6.248644  9.812910 0.9717693
## 25     Logged   1   Rarefaction       0  1.000000  1.000000  1.000000 0.1445014
## 26     Logged  50   Rarefaction       0 18.420022 16.699145 20.140898 0.8076088
## 27     Logged 100   Rarefaction       0 25.642342 22.555552 28.729131 0.8892800
## 28     Logged 200   Rarefaction       0 33.904551 28.760886 39.048215 0.9356422
## 29     Logged 251   Rarefaction       0 36.944444 30.946273 42.942616 0.9444444
## 30     Logged 252      Observed       0 37.000000 30.985778 43.014222 0.9445706
## 31     Logged 253 Extrapolation       0 37.055429 31.025177 43.085682 0.9446965
## 32     Logged 400 Extrapolation       0 43.973665 35.649771 52.297559 0.9604109
## 33     Logged   1   Rarefaction       1  1.000000  1.000000  1.000000 0.1445014
## 34     Logged  50   Rarefaction       1 10.747324  9.195793 12.298856 0.8076088
## 35     Logged 100   Rarefaction       1 12.648884 10.637790 14.659978 0.8892800
## 36     Logged 200   Rarefaction       1 14.053826 11.668419 16.439233 0.9356422
## 37     Logged 251   Rarefaction       1 14.415055 11.931129 16.898981 0.9444444
## 38     Logged 252      Observed       1 14.421002 11.935462 16.906541 0.9445706
## 39     Logged 253 Extrapolation       1 14.426930 11.939783 16.914077 0.9446965
## 40     Logged 400 Extrapolation       1 15.125810 12.453725 17.797895 0.9604109
## 41     Logged   1   Rarefaction       2  1.000000  1.000000  1.000000 0.1445014
## 42     Logged  50   Rarefaction       2  6.187685  4.963217  7.412153 0.8076088
## 43     Logged 100   Rarefaction       2  6.533542  5.148096  7.918987 0.8892800
## 44     Logged 200   Rarefaction       2  6.721385  5.243874  8.198896 0.9356422
## 45     Logged 251   Rarefaction       2  6.760881  5.263591  8.258170 0.9444444
## 46     Logged 252      Observed       2  6.761499  5.263899  8.259099 0.9445706
## 47     Logged 253 Extrapolation       2  6.762113  5.264204  8.260021 0.9446965
## 48     Logged 400 Extrapolation       2  6.819417  5.292543  8.346291 0.9604109
##        SC.LCL    SC.UCL
## 1  0.08912297 0.1555306
## 2  0.83451738 0.9004439
## 3  0.87755788 0.9368429
## 4  0.89414339 0.9629995
## 5  0.89436676 0.9633441
## 6  0.89458920 0.9636874
## 7  0.90112556 0.9736170
## 8  0.93476337 1.0000000
## 9  0.08912297 0.1555306
## 10 0.83451738 0.9004439
## 11 0.87755788 0.9368429
## 12 0.89414339 0.9629995
## 13 0.89436676 0.9633441
## 14 0.89458920 0.9636874
## 15 0.90112556 0.9736170
## 16 0.93476337 1.0000000
## 17 0.08912297 0.1555306
## 18 0.83451738 0.9004439
## 19 0.87755788 0.9368429
## 20 0.89414339 0.9629995
## 21 0.89436676 0.9633441
## 22 0.89458920 0.9636874
## 23 0.90112556 0.9736170
## 24 0.93476337 1.0000000
## 25 0.11304645 0.1759563
## 26 0.77312522 0.8420924
## 27 0.86149340 0.9170666
## 28 0.91350900 0.9577754
## 29 0.92274601 0.9661429
## 30 0.92286859 0.9662727
## 31 0.92299062 0.9664025
## 32 0.93825948 0.9825623
## 33 0.11304645 0.1759563
## 34 0.77312522 0.8420924
## 35 0.86149340 0.9170666
## 36 0.91350900 0.9577754
## 37 0.92274601 0.9661429
## 38 0.92286859 0.9662727
## 39 0.92299062 0.9664025
## 40 0.93825948 0.9825623
## 41 0.11304645 0.1759563
## 42 0.77312522 0.8420924
## 43 0.86149340 0.9170666
## 44 0.91350900 0.9577754
## 45 0.92274601 0.9661429
## 46 0.92286859 0.9662727
## 47 0.92299062 0.9664025
## 48 0.93825948 0.9825623
## 
## $coverage_based
##    Assemblage        SC   m        Method Order.q        qD     qD.LCL
## 1     Girdled 0.1223268   1   Rarefaction       0  1.000000  0.8988292
## 2     Girdled 0.8674806  50   Rarefaction       0 15.030097 11.0273338
## 3     Girdled 0.9072004 100   Rarefaction       0 20.459428 11.4212973
## 4     Girdled 0.9285714 166   Rarefaction       0 25.867399  9.2265247
## 5     Girdled 0.9288554 168      Observed       0 26.000000  9.2477055
## 6     Girdled 0.9291383 169 Extrapolation       0 26.071145  9.2036724
## 7     Girdled 0.9373713 200 Extrapolation       0 28.141739  7.9861150
## 8     Girdled 0.9717693 400 Extrapolation       0 36.792837  1.7303181
## 9     Girdled 0.1223268   1   Rarefaction       1  1.000000  0.9028344
## 10    Girdled 0.8674806  50   Rarefaction       1  9.939329  7.9701087
## 11    Girdled 0.9072004 100   Rarefaction       1 11.266547  8.9220011
## 12    Girdled 0.9285714 166   Rarefaction       1 12.044343  9.4930620
## 13    Girdled 0.9288554 168      Observed       1 12.059650  9.5056941
## 14    Girdled 0.9291383 169 Extrapolation       1 12.067840  9.5095508
## 15    Girdled 0.9373713 200 Extrapolation       1 12.303742  9.6613917
## 16    Girdled 0.9717693 400 Extrapolation       1 13.225154 10.3453166
## 17    Girdled 0.1223268   1   Rarefaction       2  1.000000  0.9084509
## 18    Girdled 0.8674806  50   Rarefaction       2  7.148972  5.6533711
## 19    Girdled 0.9072004 100   Rarefaction       2  7.627561  5.9838945
## 20    Girdled 0.9285714 166   Rarefaction       2  7.836419  6.1205895
## 21    Girdled 0.9288554 168      Observed       2  7.840000  6.1231666
## 22    Girdled 0.9291383 169 Extrapolation       2  7.841901  6.1238745
## 23    Girdled 0.9373713 200 Extrapolation       2  7.891717  6.1483016
## 24    Girdled 0.9717693 400 Extrapolation       2  8.030777  6.2328195
## 25     Logged 0.1445014   1   Rarefaction       0  1.000000  0.8346652
## 26     Logged 0.8076089  50   Rarefaction       0 18.420025 14.6764767
## 27     Logged 0.8892800 100   Rarefaction       0 25.642343 19.4627037
## 28     Logged 0.9356422 200   Rarefaction       0 33.904552 22.7961322
## 29     Logged 0.9444444 250   Rarefaction       0 36.892629 24.3958668
## 30     Logged 0.9445706 252      Observed       0 37.000000 24.4845057
## 31     Logged 0.9446965 253 Extrapolation       0 37.055429 24.5162372
## 32     Logged 0.9604109 400 Extrapolation       0 43.973665 28.5476783
## 33     Logged 0.1445014   1   Rarefaction       1  1.000000  0.8420034
## 34     Logged 0.8076089  50   Rarefaction       1 10.747325  8.7434864
## 35     Logged 0.8892800 100   Rarefaction       1 12.648884 10.2340408
## 36     Logged 0.9356422 200   Rarefaction       1 14.053826 11.3363521
## 37     Logged 0.9444444 250   Rarefaction       1 14.409488 11.6578766
## 38     Logged 0.9445706 252      Observed       1 14.421002 11.6693859
## 39     Logged 0.9446965 253 Extrapolation       1 14.426930 11.6737133
## 40     Logged 0.9604109 400 Extrapolation       1 15.125810 12.3047422
## 41     Logged 0.1445014   1   Rarefaction       2  1.000000  0.8521426
## 42     Logged 0.8076089  50   Rarefaction       2  6.187685  4.9170173
## 43     Logged 0.8892800 100   Rarefaction       2  6.533542  5.1277479
## 44     Logged 0.9356422 200   Rarefaction       2  6.721385  5.2379455
## 45     Logged 0.9444444 250   Rarefaction       2  6.760301  5.2652839
## 46     Logged 0.9445706 252      Observed       2  6.761499  5.2664256
## 47     Logged 0.9446965 253 Extrapolation       2  6.762113  5.2666956
## 48     Logged 0.9604109 400 Extrapolation       2  6.819417  5.3048892
##       qD.UCL
## 1   1.101171
## 2  19.032861
## 3  29.497559
## 4  42.508274
## 5  42.752295
## 6  42.938617
## 7  48.297362
## 8  71.855356
## 9   1.097166
## 10 11.908549
## 11 13.611092
## 12 14.595624
## 13 14.613607
## 14 14.626130
## 15 14.946092
## 16 16.104991
## 17  1.091549
## 18  8.644574
## 19  9.271228
## 20  9.552248
## 21  9.556833
## 22  9.559927
## 23  9.635132
## 24  9.828734
## 25  1.165335
## 26 22.163573
## 27 31.821982
## 28 45.012971
## 29 49.389391
## 30 49.515494
## 31 49.594622
## 32 59.399651
## 33  1.157997
## 34 12.751164
## 35 15.063728
## 36 16.771301
## 37 17.161098
## 38 17.172617
## 39 17.180146
## 40 17.946878
## 41  1.147857
## 42  7.458353
## 43  7.939335
## 44  8.204825
## 45  8.255318
## 46  8.256573
## 47  8.257530
## 48  8.333944

Plotting

Plot for an iNEXT object created previously Rarefaction/extrapolation curves for q = 0

ggiNEXT(example1, type=1) # Curve for sample size

Rarefaction/extrapolation curves for sample size for all 3 numbers divided by site

ggiNEXT(example2, type=1, facet.var="Assemblage")

Rarefaction/extrapolation curves for sample size separated by “order” (q)

ggiNEXT(example2, type=1, facet.var="Both")

?ggiNEXT
ggiNEXT(example2, type=1, facet.var="Order.q")

# adding grey=TRUE, we get a plot in black and white theme

We can also work with sample coverage

ggiNEXT(example1, type=3) # Curve for sample size

Define at which sample size you want to compare your samples.

Results: for the three hill numbers, order 0, 1,2. For all of them is interpolated or extrapolated as requested and we get the values in qD with lower and upper confidence intervals. These values are now fully comparable

Use max value of the biggest sample size

inext_spiders <- iNEXT(spider, q = 0, datatype = "abundance")
info_spiders <- inext_spiders$DataInfo
max(info_spiders$n)
## [1] 252
estINEXTsize <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
          conf = 0.95)
estINEXTsize
##   Assemblage   m        Method Order.q        SC        qD    qD.LCL    qD.UCL
## 1    Girdled 252 Extrapolation       0 0.9490904 31.089085 23.614672 38.563498
## 2    Girdled 252 Extrapolation       1 0.9490904 12.630557 10.211692 15.049422
## 3    Girdled 252 Extrapolation       2 0.9490904  7.948519  5.873934 10.023103
## 4     Logged 252      Observed       0 0.9445706 37.000000 30.141440 43.858560
## 5     Logged 252      Observed       1 0.9445706 14.421002 11.661820 17.180183
## 6     Logged 252      Observed       2 0.9445706  6.761499  4.993134  8.529864

Use max sample coverage

max(info_spiders$SC)
## [1] 0.9446
estINEXTcov <- estimateD(spider, datatype = "abundance", base = "coverage", level = .945,
          conf = 0.95)
estINEXTcov
##   Assemblage        m        Method Order.q    SC        qD    qD.LCL    qD.UCL
## 1    Girdled 232.6025 Extrapolation       0 0.945 30.060357 16.358488 43.762226
## 2    Girdled 232.6025 Extrapolation       1 0.945 12.517775 10.130333 14.905217
## 3    Girdled 232.6025 Extrapolation       2 0.945  7.930211  6.273837  9.586584
## 4     Logged 255.4196 Extrapolation       0 0.945 37.189028 13.451135 60.926920
## 5     Logged 255.4196 Extrapolation       1 0.945 14.441198 10.838266 18.044130
## 6     Logged 255.4196 Extrapolation       2 0.945  6.763578  5.216042  8.311114

Now we can compare Species richness standardized for the same level of sample size for each habitat (sample)

estINEXTcover2 <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
          conf = 0.95) 

habitat <- factor(c("Girdled", "Logged"))

# plot simple
mysub <- subset(estINEXTcover2, estINEXTcover2$Order.q == 0 )
plot(mysub$qD ~ habitat, border = c("green4", "red"), 
        xlab = "Habitats", ylab = "Est. Species richness")

# plot with confidence interval in ggplot
ggplot(mysub, aes(x = habitat, y = qD)) +
  geom_point(colour = c("green4", "red"), size = 5) +
  geom_errorbar(aes(ymin = qD.LCL, ymax = qD.UCL), 
                colour = c("green4", "red"),
                width = 0.2) +
  xlab("Habitats") +
  ylab("Est. Species richness") +
  theme_bw() 

SPATIAL ANALYSIS OF DIVERSITY

BIRD DATA

How does urbanization affect species richness?

Load data

# Bird data
bird_data <- read.csv(here("data","data_berlin","animal_data",
                           "Birds_Berlin_exercise_planillo2021.csv") )
head(bird_data)
##   Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## 1                  0                         0                      0
## 2                  0                         0                      0
## 3                  0                         0                      0
## 4                  0                         3                      0
## 5                  0                         0                      0
## 6                  0                         2                      5
##   Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## 1                       0                   0               0                0
## 2                       0                   1               0                0
## 3                       0                   0               0                0
## 4                       4                   2               0                0
## 5                       0                   2               2               11
## 6                       5                   0               9                1
##   Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## 1        15           0                   0                   1
## 2        21           0                   0                   1
## 3         4           0                   0                   0
## 4         0           1                   0                   2
## 5         0           1                   1                   1
## 6         0           0                   1                   1
##   Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## 1                 2                     0                  0
## 2                11                    11                  0
## 3                 7                     4                  0
## 4                 2                     3                  0
## 5                 6                     2                  0
## 6                 2                     4                  0
##   Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
## 1                             0             1             0               18
## 2                             0             0             0               23
## 3                             0             5             0               17
## 4                             1             0             5               10
## 5                             1             0             0                5
## 6                             1             0             0                2
##   Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
## 1            0            10               0               9                0
## 2            0            11               0              25                0
## 3            0             2               0              18                0
## 4            0            10               2              19                0
## 5            1             6               1              18                0
## 6            0             1               1               7                0
##   Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
## 1                 0                  0                 0                   0
## 2                 8                  0                 0                   0
## 3                 1                  0                 0                   0
## 4                10                  7                 1                   0
## 5                 4                  0                 0                  20
## 6                 4                  0                 0                   8
##   Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
## 1                    0                  0                 0                  0
## 2                    0                  9                 0                  0
## 3                    0                  5                 0                  0
## 4                    1                 14                 0                  0
## 5                    0                 10                 0                  1
## 6                   14                  5                 0                  0
##   Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
## 1                 0                   1                  0               0
## 2                 4                   1                  0               0
## 3                 2                   0                  0               0
## 4                30                   3                  0              10
## 5                18                   3                  2               0
## 6                 9                   1                  1               0
##   Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
## 1               0                 0               0                     0
## 2               0                 0               0                     7
## 3               0                 0               0                     0
## 4               0                 0               0                     9
## 5               7                 2               0                    20
## 6               4                 1               0                     3
##   Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
## 1                 0              0               0                 0
## 2                 0              2               0                 0
## 3                 0              0               0                 0
## 4                 0              1               0                 1
## 5                 0              2               0                 1
## 6                 0              1               3                 2
##   Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
## 1               0          10               162               0          0
## 2               0          39               121               5          0
## 3               0          18                56               4          0
## 4               2          19                 2               0          1
## 5               2          35                18               4          0
## 6               3          10                 0               2          0
##   Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
## 1                    0                       0                      0
## 2                    5                       7                      4
## 3                    4                       2                      0
## 4                    0                       0                     13
## 5                    1                       6                     13
## 6                    2                       2                      5
##   Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
## 1                       0                      0         4             0
## 2                       0                      1         4             1
## 3                       0                      0         0             0
## 4                       1                      1         0             1
## 5                       0                     15         1             1
## 6                       0                      1         0             0
##   Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
## 1               0                  0                   0                  0
## 2               0                  1                   2                  0
## 3               0                  0                   0                  0
## 4               2                  0                   1                  0
## 5               0                  1                   0                  0
## 6               0                  0                   0                  1
##   Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
## 1               0              0                     0                2
## 2               5              3                     0               13
## 3               0              4                     0               11
## 4               0             21                     0               36
## 5               0              1                     0                6
## 6               0              1                     0                6
##   Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
## 1                  2            0               0              1
## 2                 26            0               0              4
## 3                 10            0               0              0
## 4                 28            1               1              0
## 5                 24            5               4              1
## 6                  7            0               0              0
##   Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
## 1                       0            27                 0 BE10
## 2                      10            37                 0 BE11
## 3                       4            30                 1 BE12
## 4                      14            27                11 BE13
## 5                       5            54                11 BE14
## 6                       3            13                 3 BE15
str(bird_data)
## 'data.frame':    29 obs. of  71 variables:
##  $ Accipiter_gentilis           : int  0 0 0 0 0 0 0 0 1 0 ...
##  $ Acrocephalus_arundinaceus    : int  0 0 0 3 0 2 0 0 0 0 ...
##  $ Acrocephalus_palustris       : int  0 0 0 0 0 5 0 3 4 0 ...
##  $ Acrocephalus_scirpaceus      : int  0 0 0 4 0 5 0 0 0 2 ...
##  $ Aegithalos_caudatus          : int  0 1 0 2 2 0 0 0 2 0 ...
##  $ Alauda_arvensis              : int  0 0 0 0 2 9 0 21 1 0 ...
##  $ Anthus_trivialis             : int  0 0 0 0 11 1 0 0 0 0 ...
##  $ Apus_apus                    : int  15 21 4 0 0 0 0 0 3 12 ...
##  $ Buteo_buteo                  : int  0 0 0 1 1 0 0 0 0 0 ...
##  $ Carduelis_cannabina          : int  0 0 0 0 1 1 0 3 1 0 ...
##  $ Carduelis_carduelis          : int  1 1 0 2 1 1 1 3 1 4 ...
##  $ Carduelis_chloris            : int  2 11 7 2 6 2 11 6 8 13 ...
##  $ Certhia_brachydactyla        : int  0 11 4 3 2 4 2 0 1 3 ...
##  $ Certhia_familiaris           : int  0 0 0 0 0 0 0 0 0 0 ...
##  $ Coccothraustes_coccothraustes: int  0 0 0 1 1 1 0 0 0 1 ...
##  $ Columba_livia                : int  1 0 5 0 0 0 0 0 1 0 ...
##  $ Columba_oenas                : int  0 0 0 5 0 0 0 0 0 0 ...
##  $ Columba_palumbus             : int  18 23 17 10 5 2 16 7 13 15 ...
##  $ Corvus_corax                 : int  0 0 0 0 1 0 0 0 1 0 ...
##  $ Corvus_corone                : int  10 11 2 10 6 1 4 4 8 10 ...
##  $ Cuculus_canorus              : int  0 0 0 2 1 1 0 3 1 0 ...
##  $ Parus_caeruleus              : int  9 25 18 19 18 7 20 4 18 15 ...
##  $ Delichon_urbicum             : int  0 0 0 0 0 0 0 0 2 0 ...
##  $ Dendrocopos_major            : int  0 8 1 10 4 4 0 0 3 3 ...
##  $ Dendrocopos_medius           : int  0 0 0 7 0 0 0 0 0 0 ...
##  $ Dryocopus_martius            : int  0 0 0 1 0 0 0 0 0 0 ...
##  $ Emberiza_citrinella          : int  0 0 0 0 20 8 0 14 4 0 ...
##  $ Emberiza_schoeniclus         : int  0 0 0 1 0 14 0 0 1 0 ...
##  $ Erithacus_rubecula           : int  0 9 5 14 10 5 0 0 4 4 ...
##  $ Falco_tinnunculus            : int  0 0 0 0 0 0 0 0 1 0 ...
##  $ Ficedula_hypoleuca           : int  0 0 0 0 1 0 0 0 0 4 ...
##  $ Fringilla_coelebs            : int  0 4 2 30 18 9 2 2 0 0 ...
##  $ Garrulus_glandarius          : int  1 1 0 3 3 1 2 2 0 3 ...
##  $ Hippolais_icterina           : int  0 0 0 0 2 1 0 5 1 2 ...
##  $ Hirundo_rustica              : int  0 0 0 10 0 0 0 0 1 0 ...
##  $ Lanius_collurio              : int  0 0 0 0 7 4 0 2 2 0 ...
##  $ Locustella_naevia            : int  0 0 0 0 2 1 0 2 2 0 ...
##  $ Parus_cristatus              : int  0 0 0 0 0 0 0 0 1 0 ...
##  $ Luscinia_megarhynchos        : int  0 7 0 9 20 3 10 6 18 5 ...
##  $ Miliaria_calandra            : int  0 0 0 0 0 0 0 8 0 0 ...
##  $ Motacilla_alba               : int  0 2 0 1 2 1 0 0 2 0 ...
##  $ Motacilla_flava              : int  0 0 0 0 0 3 0 0 0 0 ...
##  $ Muscicapa_striata            : int  0 0 0 1 1 2 0 0 1 3 ...
##  $ Oriolus_oriolus              : int  0 0 0 2 2 3 0 0 0 0 ...
##  $ Parus_major                  : int  10 39 18 19 35 10 46 17 28 18 ...
##  $ Passer_domesticus            : int  162 121 56 2 18 0 104 0 88 90 ...
##  $ Passer_montanus              : int  0 5 4 0 4 2 6 4 8 8 ...
##  $ Parus_ater                   : int  0 0 0 1 0 0 0 0 0 0 ...
##  $ Phoenicurus_ochruros         : int  0 5 4 0 1 2 7 0 4 6 ...
##  $ Phoenicurus_phoenicurus      : int  0 7 2 0 6 2 11 0 12 9 ...
##  $ Phylloscopus_collybita       : int  0 4 0 13 13 5 7 4 9 3 ...
##  $ Phylloscopus_sibilatrix      : int  0 0 0 1 0 0 0 0 0 0 ...
##  $ Phylloscopus_trochilus       : int  0 1 0 1 15 1 0 14 4 3 ...
##  $ Pica_pica                    : int  4 4 0 0 1 0 4 2 5 7 ...
##  $ Picus_viridis                : int  0 1 0 1 1 0 0 1 0 1 ...
##  $ Parus_palustris              : int  0 0 0 2 0 0 0 0 0 0 ...
##  $ Prunella_modularis           : int  0 1 0 0 1 0 1 0 3 1 ...
##  $ Regulus_ignicapilla          : int  0 2 0 1 0 0 4 0 1 0 ...
##  $ Saxicola_torquatus           : int  0 0 0 0 0 1 0 2 0 0 ...
##  $ Serinus_serinus              : int  0 5 0 0 0 0 4 0 7 4 ...
##  $ Sitta_europaea               : int  0 3 4 21 1 1 0 0 0 3 ...
##  $ Streptopelia_decaocto        : int  0 0 0 0 0 0 0 0 0 6 ...
##  $ Sturnus_vulgaris             : int  2 13 11 36 6 6 19 10 17 34 ...
##  $ Sylvia_atricapilla           : int  2 26 10 28 24 7 14 12 15 7 ...
##  $ Sylvia_borin                 : int  0 0 0 1 5 0 0 3 3 3 ...
##  $ Sylvia_communis              : int  0 0 0 1 4 0 0 23 0 1 ...
##  $ Sylvia_curruca               : int  1 4 0 0 1 0 7 3 4 4 ...
##  $ Troglodytes_troglodytes      : int  0 10 4 14 5 3 6 0 5 2 ...
##  $ Turdus_merula                : int  27 37 30 27 54 13 39 14 49 32 ...
##  $ Turdus_philomelos            : int  0 0 1 11 11 3 1 5 1 4 ...
##  $ site                         : chr  "BE10" "BE11" "BE12" "BE13" ...
summary(bird_data)
##  Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
##  Min.   :0.0000     Min.   :0.0000            Min.   :0.0000        
##  1st Qu.:0.0000     1st Qu.:0.0000            1st Qu.:0.0000        
##  Median :0.0000     Median :0.0000            Median :0.0000        
##  Mean   :0.1379     Mean   :0.2414            Mean   :0.4138        
##  3rd Qu.:0.0000     3rd Qu.:0.0000            3rd Qu.:0.0000        
##  Max.   :2.0000     Max.   :3.0000            Max.   :5.0000        
##  Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis  Anthus_trivialis 
##  Min.   :0.0000          Min.   :0.0000      Min.   : 0.000   Min.   : 0.0000  
##  1st Qu.:0.0000          1st Qu.:0.0000      1st Qu.: 0.000   1st Qu.: 0.0000  
##  Median :0.0000          Median :0.0000      Median : 0.000   Median : 0.0000  
##  Mean   :0.5517          Mean   :0.7241      Mean   : 1.172   Mean   : 0.4483  
##  3rd Qu.:0.0000          3rd Qu.:1.0000      3rd Qu.: 0.000   3rd Qu.: 0.0000  
##  Max.   :5.0000          Max.   :4.0000      Max.   :21.000   Max.   :11.0000  
##    Apus_apus       Buteo_buteo     Carduelis_cannabina Carduelis_carduelis
##  Min.   : 0.000   Min.   :0.0000   Min.   :0.0000      Min.   :0.000      
##  1st Qu.: 0.000   1st Qu.:0.0000   1st Qu.:0.0000      1st Qu.:0.000      
##  Median : 0.000   Median :0.0000   Median :0.0000      Median :1.000      
##  Mean   : 5.069   Mean   :0.1034   Mean   :0.3103      Mean   :1.517      
##  3rd Qu.: 5.000   3rd Qu.:0.0000   3rd Qu.:0.0000      3rd Qu.:2.000      
##  Max.   :37.000   Max.   :1.0000   Max.   :3.0000      Max.   :6.000      
##  Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
##  Min.   : 0.000    Min.   : 0.000        Min.   :0.0000    
##  1st Qu.: 2.000    1st Qu.: 1.000        1st Qu.:0.0000    
##  Median : 6.000    Median : 3.000        Median :0.0000    
##  Mean   : 6.276    Mean   : 4.483        Mean   :0.5172    
##  3rd Qu.: 9.000    3rd Qu.: 9.000        3rd Qu.:0.0000    
##  Max.   :19.000    Max.   :12.000        Max.   :6.0000    
##  Coccothraustes_coccothraustes Columba_livia    Columba_oenas   
##  Min.   : 0.000                Min.   : 0.000   Min.   :0.0000  
##  1st Qu.: 0.000                1st Qu.: 0.000   1st Qu.:0.0000  
##  Median : 0.000                Median : 0.000   Median :0.0000  
##  Mean   : 1.621                Mean   : 2.586   Mean   :0.4138  
##  3rd Qu.: 1.000                3rd Qu.: 4.000   3rd Qu.:0.0000  
##  Max.   :15.000                Max.   :15.000   Max.   :5.0000  
##  Columba_palumbus  Corvus_corax    Corvus_corone    Cuculus_canorus 
##  Min.   : 2.00    Min.   :0.0000   Min.   : 0.000   Min.   :0.0000  
##  1st Qu.:10.00    1st Qu.:0.0000   1st Qu.: 2.000   1st Qu.:0.0000  
##  Median :13.00    Median :0.0000   Median : 6.000   Median :0.0000  
##  Mean   :13.07    Mean   :0.1379   Mean   : 6.586   Mean   :0.3448  
##  3rd Qu.:17.00    3rd Qu.:0.0000   3rd Qu.:10.000   3rd Qu.:0.0000  
##  Max.   :32.00    Max.   :1.0000   Max.   :22.000   Max.   :3.0000  
##  Parus_caeruleus Delichon_urbicum Dendrocopos_major Dendrocopos_medius
##  Min.   : 4      Min.   :0.0000   Min.   : 0.000    Min.   :0.0000    
##  1st Qu.:11      1st Qu.:0.0000   1st Qu.: 1.000    1st Qu.:0.0000    
##  Median :18      Median :0.0000   Median : 2.000    Median :0.0000    
##  Mean   :19      Mean   :0.2069   Mean   : 5.517    Mean   :0.3103    
##  3rd Qu.:23      3rd Qu.:0.0000   3rd Qu.: 8.000    3rd Qu.:0.0000    
##  Max.   :44      Max.   :2.0000   Max.   :36.000    Max.   :7.0000    
##  Dryocopus_martius Emberiza_citrinella Emberiza_schoeniclus Erithacus_rubecula
##  Min.   :0.0000    Min.   : 0.000      Min.   : 0.0000      Min.   : 0.000    
##  1st Qu.:0.0000    1st Qu.: 0.000      1st Qu.: 0.0000      1st Qu.: 2.000    
##  Median :0.0000    Median : 0.000      Median : 0.0000      Median : 4.000    
##  Mean   :0.2069    Mean   : 1.862      Mean   : 0.5517      Mean   : 6.931    
##  3rd Qu.:0.0000    3rd Qu.: 0.000      3rd Qu.: 0.0000      3rd Qu.:10.000    
##  Max.   :2.0000    Max.   :20.000      Max.   :14.0000      Max.   :35.000    
##  Falco_tinnunculus Ficedula_hypoleuca Fringilla_coelebs Garrulus_glandarius
##  Min.   :0.0000    Min.   :0.000      Min.   : 0.00     Min.   :0.000      
##  1st Qu.:0.0000    1st Qu.:0.000      1st Qu.: 0.00     1st Qu.:1.000      
##  Median :0.0000    Median :0.000      Median : 3.00     Median :1.000      
##  Mean   :0.1724    Mean   :1.345      Mean   :11.86     Mean   :1.793      
##  3rd Qu.:0.0000    3rd Qu.:1.000      3rd Qu.:18.00     3rd Qu.:3.000      
##  Max.   :1.0000    Max.   :9.000      Max.   :71.00     Max.   :5.000      
##  Hippolais_icterina Hirundo_rustica   Lanius_collurio  Locustella_naevia
##  Min.   :0.0000     Min.   : 0.0000   Min.   :0.0000   Min.   :0.0000   
##  1st Qu.:0.0000     1st Qu.: 0.0000   1st Qu.:0.0000   1st Qu.:0.0000   
##  Median :0.0000     Median : 0.0000   Median :0.0000   Median :0.0000   
##  Mean   :0.3793     Mean   : 0.6552   Mean   :0.5172   Mean   :0.2414   
##  3rd Qu.:0.0000     3rd Qu.: 0.0000   3rd Qu.:0.0000   3rd Qu.:0.0000   
##  Max.   :5.0000     Max.   :10.0000   Max.   :7.0000   Max.   :2.0000   
##  Parus_cristatus  Luscinia_megarhynchos Miliaria_calandra Motacilla_alba  
##  Min.   :0.0000   Min.   : 0.000        Min.   :0.0000    Min.   :0.0000  
##  1st Qu.:0.0000   1st Qu.: 0.000        1st Qu.:0.0000    1st Qu.:0.0000  
##  Median :0.0000   Median : 2.000        Median :0.0000    Median :0.0000  
##  Mean   :0.8621   Mean   : 4.069        Mean   :0.2759    Mean   :0.4138  
##  3rd Qu.:0.0000   3rd Qu.: 7.000        3rd Qu.:0.0000    3rd Qu.:1.0000  
##  Max.   :7.0000   Max.   :20.000        Max.   :8.0000    Max.   :2.0000  
##  Motacilla_flava  Muscicapa_striata Oriolus_oriolus   Parus_major   
##  Min.   :0.0000   Min.   :0.0000    Min.   :0.0000   Min.   : 6.00  
##  1st Qu.:0.0000   1st Qu.:0.0000    1st Qu.:0.0000   1st Qu.:17.00  
##  Median :0.0000   Median :0.0000    Median :0.0000   Median :22.00  
##  Mean   :0.1034   Mean   :0.6207    Mean   :0.2759   Mean   :23.86  
##  3rd Qu.:0.0000   3rd Qu.:1.0000    3rd Qu.:0.0000   3rd Qu.:29.00  
##  Max.   :3.0000   Max.   :4.0000    Max.   :3.0000   Max.   :52.00  
##  Passer_domesticus Passer_montanus    Parus_ater     Phoenicurus_ochruros
##  Min.   :  0.00    Min.   : 0.000   Min.   :0.0000   Min.   : 0          
##  1st Qu.: 14.00    1st Qu.: 0.000   1st Qu.:0.0000   1st Qu.: 1          
##  Median : 65.00    Median : 3.000   Median :0.0000   Median : 2          
##  Mean   : 68.38    Mean   : 3.828   Mean   :0.5517   Mean   : 4          
##  3rd Qu.: 90.00    3rd Qu.: 6.000   3rd Qu.:0.0000   3rd Qu.: 5          
##  Max.   :279.00    Max.   :15.000   Max.   :5.0000   Max.   :21          
##  Phoenicurus_phoenicurus Phylloscopus_collybita Phylloscopus_sibilatrix
##  Min.   : 0.000          Min.   : 0.000         Min.   : 0.000         
##  1st Qu.: 2.000          1st Qu.: 0.000         1st Qu.: 0.000         
##  Median : 5.000          Median : 2.000         Median : 0.000         
##  Mean   : 4.966          Mean   : 3.517         Mean   : 2.069         
##  3rd Qu.: 8.000          3rd Qu.: 5.000         3rd Qu.: 1.000         
##  Max.   :13.000          Max.   :14.000         Max.   :24.000         
##  Phylloscopus_trochilus   Pica_pica      Picus_viridis    Parus_palustris  
##  Min.   : 0.000         Min.   : 0.000   Min.   :0.0000   Min.   : 0.0000  
##  1st Qu.: 0.000         1st Qu.: 0.000   1st Qu.:0.0000   1st Qu.: 0.0000  
##  Median : 0.000         Median : 2.000   Median :0.0000   Median : 0.0000  
##  Mean   : 1.483         Mean   : 3.138   Mean   :0.4483   Mean   : 0.5517  
##  3rd Qu.: 1.000         3rd Qu.: 5.000   3rd Qu.:1.0000   3rd Qu.: 0.0000  
##  Max.   :15.000         Max.   :10.000   Max.   :1.0000   Max.   :10.0000  
##  Prunella_modularis Regulus_ignicapilla Saxicola_torquatus Serinus_serinus 
##  Min.   :0.0000     Min.   : 0.000      Min.   :0.0000     Min.   : 0.000  
##  1st Qu.:0.0000     1st Qu.: 0.000      1st Qu.:0.0000     1st Qu.: 0.000  
##  Median :0.0000     Median : 0.000      Median :0.0000     Median : 1.000  
##  Mean   :0.5517     Mean   : 1.552      Mean   :0.1034     Mean   : 2.103  
##  3rd Qu.:1.0000     3rd Qu.: 2.000      3rd Qu.:0.0000     3rd Qu.: 4.000  
##  Max.   :5.0000     Max.   :12.000      Max.   :2.0000     Max.   :15.000  
##  Sitta_europaea   Streptopelia_decaocto Sturnus_vulgaris Sylvia_atricapilla
##  Min.   : 0.000   Min.   :0.0000        Min.   : 2.00    Min.   : 0.00     
##  1st Qu.: 0.000   1st Qu.:0.0000        1st Qu.: 5.00    1st Qu.: 7.00     
##  Median : 1.000   Median :0.0000        Median : 8.00    Median :10.00     
##  Mean   : 4.759   Mean   :0.2069        Mean   :10.52    Mean   :10.83     
##  3rd Qu.: 4.000   3rd Qu.:0.0000        3rd Qu.:13.00    3rd Qu.:13.00     
##  Max.   :29.000   Max.   :6.0000        Max.   :36.00    Max.   :28.00     
##   Sylvia_borin    Sylvia_communis  Sylvia_curruca  Troglodytes_troglodytes
##  Min.   :0.0000   Min.   : 0.000   Min.   :0.000   Min.   : 0.000         
##  1st Qu.:0.0000   1st Qu.: 0.000   1st Qu.:0.000   1st Qu.: 0.000         
##  Median :0.0000   Median : 0.000   Median :2.000   Median : 3.000         
##  Mean   :0.6207   Mean   : 1.069   Mean   :2.207   Mean   : 6.034         
##  3rd Qu.:0.0000   3rd Qu.: 0.000   3rd Qu.:3.000   3rd Qu.: 9.000         
##  Max.   :5.0000   Max.   :23.000   Max.   :7.000   Max.   :36.000         
##  Turdus_merula   Turdus_philomelos     site          
##  Min.   :11.00   Min.   : 0.000    Length:29         
##  1st Qu.:18.00   1st Qu.: 0.000    Class :character  
##  Median :27.00   Median : 1.000    Mode  :character  
##  Mean   :29.34   Mean   : 3.345                      
##  3rd Qu.:39.00   3rd Qu.: 5.000                      
##  Max.   :54.00   Max.   :14.000
bird_data
##    Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## 1                   0                         0                      0
## 2                   0                         0                      0
## 3                   0                         0                      0
## 4                   0                         3                      0
## 5                   0                         0                      0
## 6                   0                         2                      5
## 7                   0                         0                      0
## 8                   0                         0                      3
## 9                   1                         0                      4
## 10                  0                         0                      0
## 11                  2                         0                      0
## 12                  0                         0                      0
## 13                  1                         0                      0
## 14                  0                         0                      0
## 15                  0                         0                      0
## 16                  0                         0                      0
## 17                  0                         0                      0
## 18                  0                         0                      0
## 19                  0                         0                      0
## 20                  0                         0                      0
## 21                  0                         0                      0
## 22                  0                         2                      0
## 23                  0                         0                      0
## 24                  0                         0                      0
## 25                  0                         0                      0
## 26                  0                         0                      0
## 27                  0                         0                      0
## 28                  0                         0                      0
## 29                  0                         0                      0
##    Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## 1                        0                   0               0                0
## 2                        0                   1               0                0
## 3                        0                   0               0                0
## 4                        4                   2               0                0
## 5                        0                   2               2               11
## 6                        5                   0               9                1
## 7                        0                   0               0                0
## 8                        0                   0              21                0
## 9                        0                   2               1                0
## 10                       2                   0               0                0
## 11                       0                   1               0                0
## 12                       0                   0               0                0
## 13                       1                   2               0                0
## 14                       0                   1               0                0
## 15                       0                   0               0                0
## 16                       0                   0               0                0
## 17                       0                   3               0                0
## 18                       0                   1               0                0
## 19                       0                   1               0                0
## 20                       1                   0               0                0
## 21                       0                   0               0                0
## 22                       0                   0               0                1
## 23                       0                   1               1                0
## 24                       0                   4               0                0
## 25                       0                   0               0                0
## 26                       0                   0               0                0
## 27                       0                   0               0                0
## 28                       0                   0               0                0
## 29                       3                   0               0                0
##    Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## 1         15           0                   0                   1
## 2         21           0                   0                   1
## 3          4           0                   0                   0
## 4          0           1                   0                   2
## 5          0           1                   1                   1
## 6          0           0                   1                   1
## 7          0           0                   0                   1
## 8          0           0                   3                   3
## 9          3           0                   1                   1
## 10        12           0                   0                   4
## 11         0           0                   0                   0
## 12         4           0                   0                   0
## 13         3           0                   0                   2
## 14         5           0                   0                   3
## 15         5           0                   0                   3
## 16         0           0                   0                   6
## 17        12           0                   0                   1
## 18         0           0                   0                   0
## 19        19           0                   3                   0
## 20         0           1                   0                   2
## 21         0           0                   0                   1
## 22         0           0                   0                   1
## 23         0           0                   0                   1
## 24         0           0                   0                   0
## 25         5           0                   0                   0
## 26         2           0                   0                   1
## 27        37           0                   0                   2
## 28         0           0                   0                   6
## 29         0           0                   0                   0
##    Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## 1                  2                     0                  0
## 2                 11                    11                  0
## 3                  7                     4                  0
## 4                  2                     3                  0
## 5                  6                     2                  0
## 6                  2                     4                  0
## 7                 11                     2                  0
## 8                  6                     0                  0
## 9                  8                     1                  0
## 10                13                     3                  0
## 11                 0                    11                  6
## 12                 1                     1                  0
## 13                 7                    11                  0
## 14                10                     5                  0
## 15                 3                     3                  0
## 16                 5                     5                  0
## 17                19                     0                  0
## 18                 6                    10                  0
## 19                11                     4                  0
## 20                 0                     9                  2
## 21                 9                     0                  0
## 22                 5                     9                  1
## 23                 9                     1                  0
## 24                 6                    10                  0
## 25                 4                     0                  0
## 26                 2                     3                  0
## 27                 8                     4                  0
## 28                 9                     2                  0
## 29                 0                    12                  6
##    Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
## 1                              0             1             0               18
## 2                              0             0             0               23
## 3                              0             5             0               17
## 4                              1             0             5               10
## 5                              1             0             0                5
## 6                              1             0             0                2
## 7                              0             0             0               16
## 8                              0             0             0                7
## 9                              0             1             0               13
## 10                             1             0             0               15
## 11                            15             0             2               12
## 12                             0             4             0                6
## 13                             8             0             0               15
## 14                             0            15             0               18
## 15                             0            13             0               18
## 16                             0             0             0               11
## 17                             0             0             0               10
## 18                             0             2             0               13
## 19                             2             1             0               17
## 20                             3             0             3                6
## 21                             0             3             0               15
## 22                             3             2             0                5
## 23                             0             0             0               18
## 24                             5             0             1               19
## 25                             0             7             0               11
## 26                             0             9             0               10
## 27                             0             8             0               32
## 28                             0             4             0               12
## 29                             7             0             1                5
##    Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
## 1             0            10               0               9                0
## 2             0            11               0              25                0
## 3             0             2               0              18                0
## 4             0            10               2              19                0
## 5             1             6               1              18                0
## 6             0             1               1               7                0
## 7             0             4               0              20                0
## 8             0             4               3               4                0
## 9             1             8               1              18                2
## 10            0            10               0              15                0
## 11            1             2               1              33                0
## 12            0             3               0              11                0
## 13            0             4               0              44                0
## 14            0             4               0              14                0
## 15            0             6               0              12                0
## 16            0            11               0              15                0
## 17            0             5               0              18                0
## 18            0             2               0              16                0
## 19            0            14               0              26                0
## 20            0             0               0              31                0
## 21            0            12               0              11                0
## 22            1             1               0              23                0
## 23            0             2               0              11                0
## 24            0             8               0              44                0
## 25            0             7               0               5                1
## 26            0             8               0              22                1
## 27            0            22               0              23                2
## 28            0            13               0              10                0
## 29            0             1               1              29                0
##    Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
## 1                  0                  0                 0                   0
## 2                  8                  0                 0                   0
## 3                  1                  0                 0                   0
## 4                 10                  7                 1                   0
## 5                  4                  0                 0                  20
## 6                  4                  0                 0                   8
## 7                  0                  0                 0                   0
## 8                  0                  0                 0                  14
## 9                  3                  0                 0                   4
## 10                 3                  0                 0                   0
## 11                36                  1                 2                   0
## 12                 1                  0                 0                   0
## 13                 8                  0                 0                   0
## 14                 0                  0                 0                   0
## 15                 0                  0                 0                   0
## 16                 2                  0                 0                   0
## 17                 2                  0                 0                   0
## 18                 6                  0                 0                   0
## 19                 3                  0                 0                   1
## 20                11                  0                 1                   0
## 21                 2                  0                 0                   0
## 22                 9                  0                 0                   7
## 23                 2                  0                 0                   0
## 24                22                  0                 1                   0
## 25                 1                  0                 0                   0
## 26                 1                  0                 0                   0
## 27                 1                  0                 0                   0
## 28                 1                  0                 0                   0
## 29                19                  1                 1                   0
##    Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
## 1                     0                  0                 0                  0
## 2                     0                  9                 0                  0
## 3                     0                  5                 0                  0
## 4                     1                 14                 0                  0
## 5                     0                 10                 0                  1
## 6                    14                  5                 0                  0
## 7                     0                  0                 0                  0
## 8                     0                  0                 0                  0
## 9                     1                  4                 1                  0
## 10                    0                  4                 0                  4
## 11                    0                 35                 0                  6
## 12                    0                  0                 0                  0
## 13                    0                 13                 0                  0
## 14                    0                  2                 0                  0
## 15                    0                  5                 0                  0
## 16                    0                  2                 0                  0
## 17                    0                  1                 0                  0
## 18                    0                  5                 1                  0
## 19                    0                  3                 1                  1
## 20                    0                 25                 0                  8
## 21                    0                  2                 0                  0
## 22                    0                 10                 0                  9
## 23                    0                  3                 0                  0
## 24                    0                 17                 0                  7
## 25                    0                  0                 0                  0
## 26                    0                  3                 1                  0
## 27                    0                  2                 0                  0
## 28                    0                  0                 1                  0
## 29                    0                 22                 0                  3
##    Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
## 1                  0                   1                  0               0
## 2                  4                   1                  0               0
## 3                  2                   0                  0               0
## 4                 30                   3                  0              10
## 5                 18                   3                  2               0
## 6                  9                   1                  1               0
## 7                  2                   2                  0               0
## 8                  2                   2                  5               0
## 9                  0                   0                  1               1
## 10                 0                   3                  2               0
## 11                71                   5                  0               0
## 12                 0                   0                  0               0
## 13                24                   1                  0               0
## 14                 0                   1                  0               0
## 15                 1                   0                  0               0
## 16                 3                   0                  0               0
## 17                 5                   1                  0               1
## 18                 8                   0                  0               0
## 19                 1                   2                  0               0
## 20                46                   4                  0               0
## 21                 3                   5                  0               0
## 22                21                   2                  0               7
## 23                 0                   1                  0               0
## 24                36                   5                  0               0
## 25                 0                   2                  0               0
## 26                 3                   0                  0               0
## 27                 0                   2                  0               0
## 28                 0                   1                  0               0
## 29                55                   4                  0               0
##    Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
## 1                0                 0               0                     0
## 2                0                 0               0                     7
## 3                0                 0               0                     0
## 4                0                 0               0                     9
## 5                7                 2               0                    20
## 6                4                 1               0                     3
## 7                0                 0               0                    10
## 8                2                 2               0                     6
## 9                2                 2               1                    18
## 10               0                 0               0                     5
## 11               0                 0               5                     0
## 12               0                 0               0                     0
## 13               0                 0               0                     8
## 14               0                 0               0                     2
## 15               0                 0               0                     0
## 16               0                 0               0                     0
## 17               0                 0               0                     2
## 18               0                 0               0                     2
## 19               0                 0               2                     7
## 20               0                 0               4                     0
## 21               0                 0               0                     0
## 22               0                 0               7                     3
## 23               0                 0               0                    10
## 24               0                 0               0                     0
## 25               0                 0               0                     1
## 26               0                 0               0                     0
## 27               0                 0               0                     1
## 28               0                 0               0                     3
## 29               0                 0               6                     1
##    Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
## 1                  0              0               0                 0
## 2                  0              2               0                 0
## 3                  0              0               0                 0
## 4                  0              1               0                 1
## 5                  0              2               0                 1
## 6                  0              1               3                 2
## 7                  0              0               0                 0
## 8                  8              0               0                 0
## 9                  0              2               0                 1
## 10                 0              0               0                 3
## 11                 0              0               0                 2
## 12                 0              0               0                 0
## 13                 0              0               0                 4
## 14                 0              0               0                 0
## 15                 0              1               0                 0
## 16                 0              0               0                 0
## 17                 0              0               0                 0
## 18                 0              0               0                 2
## 19                 0              1               0                 0
## 20                 0              1               0                 1
## 21                 0              0               0                 0
## 22                 0              0               0                 0
## 23                 0              0               0                 0
## 24                 0              0               0                 0
## 25                 0              0               0                 0
## 26                 0              0               0                 0
## 27                 0              1               0                 0
## 28                 0              0               0                 0
## 29                 0              0               0                 1
##    Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
## 1                0          10               162               0          0
## 2                0          39               121               5          0
## 3                0          18                56               4          0
## 4                2          19                 2               0          1
## 5                2          35                18               4          0
## 6                3          10                 0               2          0
## 7                0          46               104               6          0
## 8                0          17                 0               4          0
## 9                0          28                88               8          0
## 10               0          18                90               8          0
## 11               0          29                 0               0          3
## 12               0           9                71               1          0
## 13               0          29                 5               1          0
## 14               0          19                62               0          0
## 15               0          18                71               0          0
## 16               0          20               174               0          0
## 17               0          25                65               5          0
## 18               0          39               115               0          0
## 19               0          36                65              12          0
## 20               0          28                 0               0          0
## 21               0          13                56              14          0
## 22               0          29                22               5          4
## 23               0          22                78              15          0
## 24               1          52                14               7          3
## 25               0           6               116               0          0
## 26               0          15                76               0          0
## 27               0          22               279               3          0
## 28               0          14                73               7          0
## 29               0          27                 0               0          5
##    Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
## 1                     0                       0                      0
## 2                     5                       7                      4
## 3                     4                       2                      0
## 4                     0                       0                     13
## 5                     1                       6                     13
## 6                     2                       2                      5
## 7                     7                      11                      7
## 8                     0                       0                      4
## 9                     4                      12                      9
## 10                    6                       9                      3
## 11                    0                       0                      1
## 12                    1                       3                      0
## 13                    3                      13                     14
## 14                   19                       5                      0
## 15                   21                       3                      0
## 16                    4                       3                      0
## 17                    2                       9                      5
## 18                    2                       5                      1
## 19                    3                       9                      1
## 20                    0                       1                      2
## 21                   10                       5                      0
## 22                    1                       8                     11
## 23                    1                       9                      1
## 24                    2                       7                      3
## 25                    5                       0                      0
## 26                    2                       5                      0
## 27                    5                       2                      0
## 28                    6                       6                      2
## 29                    0                       2                      3
##    Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
## 1                        0                      0         4             0
## 2                        0                      1         4             1
## 3                        0                      0         0             0
## 4                        1                      1         0             1
## 5                        0                     15         1             1
## 6                        0                      1         0             0
## 7                        0                      0         4             0
## 8                        0                     14         2             1
## 9                        0                      4         5             0
## 10                       0                      3         7             1
## 11                      24                      0         0             1
## 12                       0                      0         4             0
## 13                       6                      0         0             1
## 14                       0                      0         3             0
## 15                       0                      0         3             0
## 16                       0                      0         2             0
## 17                       2                      0         2             1
## 18                       0                      0         0             1
## 19                       1                      2         9             1
## 20                       4                      0         0             0
## 21                       0                      0         9             0
## 22                       8                      0         2             0
## 23                       0                      0         2             1
## 24                       0                      0         0             1
## 25                       0                      0        10             0
## 26                       0                      0         5             1
## 27                       1                      1         7             0
## 28                       0                      0         6             0
## 29                      13                      1         0             0
##    Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
## 1                0                  0                   0                  0
## 2                0                  1                   2                  0
## 3                0                  0                   0                  0
## 4                2                  0                   1                  0
## 5                0                  1                   0                  0
## 6                0                  0                   0                  1
## 7                0                  1                   4                  0
## 8                0                  0                   0                  2
## 9                0                  3                   1                  0
## 10               0                  1                   0                  0
## 11               0                  0                   7                  0
## 12               0                  0                   0                  0
## 13               0                  5                   3                  0
## 14               0                  0                   0                  0
## 15               0                  0                   0                  0
## 16               0                  0                   0                  0
## 17               0                  1                   2                  0
## 18               0                  0                   0                  0
## 19               0                  1                   0                  0
## 20               3                  0                   6                  0
## 21               0                  0                   0                  0
## 22               0                  1                   2                  0
## 23               0                  1                   0                  0
## 24               1                  0                  12                  0
## 25               0                  0                   0                  0
## 26               0                  0                   0                  0
## 27               0                  0                   0                  0
## 28               0                  0                   0                  0
## 29              10                  0                   5                  0
##    Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
## 1                0              0                     0                2
## 2                5              3                     0               13
## 3                0              4                     0               11
## 4                0             21                     0               36
## 5                0              1                     0                6
## 6                0              1                     0                6
## 7                4              0                     0               19
## 8                0              0                     0               10
## 9                7              0                     0               17
## 10               4              3                     6               34
## 11               0             29                     0                2
## 12               1              1                     0                5
## 13              15              6                     0               19
## 14               3              0                     0                3
## 15               1              0                     0                4
## 16               0              3                     0                9
## 17               2              0                     0                7
## 18               1              4                     0               19
## 19               5              0                     0               12
## 20               0             18                     0                3
## 21               0              1                     0               18
## 22               4              5                     0                7
## 23               0              0                     0                2
## 24               0             23                     0                8
## 25               2              0                     0                5
## 26               3              0                     0                8
## 27               0              1                     0               11
## 28               4              0                     0                7
## 29               0             14                     0                2
##    Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
## 1                   2            0               0              1
## 2                  26            0               0              4
## 3                  10            0               0              0
## 4                  28            1               1              0
## 5                  24            5               4              1
## 6                   7            0               0              0
## 7                  14            0               0              7
## 8                  12            3              23              3
## 9                  15            3               0              4
## 10                  7            3               1              4
## 11                  9            0               0              0
## 12                  6            0               0              2
## 13                 20            0               0              3
## 14                  7            0               0              3
## 15                  4            0               0              1
## 16                  8            0               0              1
## 17                 10            0               0              0
## 18                 10            0               0              3
## 19                  3            0               2              4
## 20                 11            0               0              0
## 21                  6            2               0              5
## 22                 12            0               0              3
## 23                 13            1               0              7
## 24                 13            0               0              3
## 25                  0            0               0              0
## 26                  8            0               0              1
## 27                 10            0               0              1
## 28                  5            0               0              3
## 29                 14            0               0              0
##    Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
## 1                        0            27                 0 BE10
## 2                       10            37                 0 BE11
## 3                        4            30                 1 BE12
## 4                       14            27                11 BE13
## 5                        5            54                11 BE14
## 6                        3            13                 3 BE15
## 7                        6            39                 1 BE16
## 8                        0            14                 5 BE17
## 9                        5            49                 1 BE18
## 10                       2            32                 4 BE19
## 11                      36            30                14  BE2
## 12                       0            14                 0 BE20
## 13                      15            54                 6 BE21
## 14                       1            27                 0 BE22
## 15                       0            26                 0 BE23
## 16                       1            27                 0 BE24
## 17                       0            18                 1 BE25
## 18                       5            26                 0 BE26
## 19                       1            24                 1 BE27
## 20                       9            14                 9 BE28
## 21                       0            41                 0 BE29
## 22                       9            25                 7  BE3
## 23                       6            46                 1 BE30
## 24                      26            40                14  BE4
## 25                       0            11                 0  BE5
## 26                       1            16                 1  BE6
## 27                       0            51                 1  BE7
## 28                       2            22                 0  BE8
## 29                      14            17                 5  BE9

Get the Hill Number for species richness

iNext package uses the data in a specific format: Matrix with species in rows, sites in columns.

# get the data in the proper format
bird_data <- column_to_rownames(bird_data, "site") 
bird_data <- t(bird_data)

# run inext function
birds_inext <- iNEXT(bird_data, q = 0, datatype = "abundance") # q = 0 -> species richness

#Show a summary of the data 
birds_inext$DataInfo
##    Assemblage   n S.obs     SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1        BE10 265    15 0.9850  4  3  0  1  0  0  0  0  1   2
## 2        BE11 423    32 0.9858  6  2  1  4  3  0  2  1  1   1
## 3        BE12 209    21 0.9906  2  3  0  6  2  0  1  0  0   1
## 4        BE13 333    42 0.9611 13  7  3  1  1  0  1  0  1   4
## 5        BE14 356    46 0.9608 14  7  1  3  3  4  1  0  0   1
## 6        BE15 157    41 0.9178 13  7  5  3  4  1  2  1  2   1
## 7        BE16 348    25 0.9914  3  3  0  4  0  2  3  0  0   1
## 8        BE17 209    31 0.9955  1  6  6  4  2  2  1  1  0   1
## 9        BE18 370    47 0.9568 16  5  4  6  2  0  1  3  1   0
## 10       BE19 345    37 0.9885  4  3  8  6  1  2  2  1  1   1
## 11        BE2 434    32 0.9862  6  6  1  0  2  2  1  0  1   0
## 12       BE20 149    20 0.9531  7  1  2  3  1  2  0  0  1   0
## 13       BE21 374    35 0.9867  5  2  4  2  2  3  1  3  0   0
## 14       BE22 232    23 0.9871  3  2  5  1  3  0  1  0  0   1
## 15       BE23 222    21 0.9820  4  0  5  2  2  1  0  0  0   0
## 16       BE24 312    20 0.9937  2  3  3  1  2  1  0  1  1   0
## 17       BE25 237    29 0.9707  7  7  1  0  4  0  1  0  1   2
## 18       BE26 305    26 0.9837  5  5  1  1  3  2  0  1  0   2
## 19       BE27 312    39 0.9584 13  5  5  2  1  0  1  0  2   0
## 20       BE28 267    30 0.9776  6  3  4  3  0  2  0  1  3   0
## 21       BE29 243    22 0.9919  2  3  2  0  3  1  0  0  2   1
## 22        BE3 294    40 0.9763  7  5  3  2  4  0  5  2  4   1
## 23       BE30 266    28 0.9588 11  4  1  0  0  1  1  0  2   1
## 24        BE4 415    32 0.9880  5  1  3  1  2  1  3  2  0   1
## 25        BE5 199    17 0.9850  3  2  0  1  4  1  2  0  0   1
## 26        BE6 208    26 0.9617  8  3  4  0  2  0  0  3  1   1
## 27        BE7 540    28 0.9852  8  5  1  1  1  0  1  2  0   1
## 28        BE8 219    24 0.9864  3  3  2  2  1  4  2  0  1   1
## 29        BE9 310    33 0.9742  8  2  3  1  4  2  1  0  0   1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
head(birds_inext$iNextEst)
## $size_based
##      Assemblage    m        Method Order.q        qD    qD.LCL    qD.UCL
## 1          BE10    1   Rarefaction       0  1.000000  1.000000  1.000000
## 2          BE10   15   Rarefaction       0  5.138521  4.647934  5.629108
## 3          BE10   30   Rarefaction       0  7.261204  6.536886  7.985523
## 4          BE10   44   Rarefaction       0  8.493792  7.603123  9.384461
## 5          BE10   59   Rarefaction       0  9.433917  8.387325 10.480509
## 6          BE10   74   Rarefaction       0 10.164352  8.976771 11.351934
## 7          BE10   88   Rarefaction       0 10.736162  9.428130 12.044195
## 8          BE10  103   Rarefaction       0 11.274111  9.846717 12.701504
## 9          BE10  117   Rarefaction       0 11.727559 10.195622 13.259497
## 10         BE10  132   Rarefaction       0 12.174118 10.535381 13.812856
## 11         BE10  147   Rarefaction       0 12.587566 10.845721 14.329412
## 12         BE10  161   Rarefaction       0 12.947639 11.111810 14.783467
## 13         BE10  176   Rarefaction       0 13.308532 11.373642 15.243423
## 14         BE10  190   Rarefaction       0 13.623868 11.597560 15.650175
## 15         BE10  205   Rarefaction       0 13.940110 11.816579 16.063640
## 16         BE10  220   Rarefaction       0 14.235107 12.014761 16.455453
## 17         BE10  234   Rarefaction       0 14.492039 12.181389 16.802689
## 18         BE10  249   Rarefaction       0 14.748190 12.340469 17.155911
## 19         BE10  264   Rarefaction       0 14.984906 12.479309 17.490502
## 20         BE10  265      Observed       0 15.000000 12.487836 17.512164
## 21         BE10  266 Extrapolation       0 15.015009 12.496272 17.533747
## 22         BE10  279 Extrapolation       0 15.202582 12.597810 17.807354
## 23         BE10  293 Extrapolation       0 15.389716 12.690968 18.088464
## 24         BE10  307 Extrapolation       0 15.562580 12.768458 18.356702
## 25         BE10  321 Extrapolation       0 15.722262 12.831487 18.613037
## 26         BE10  335 Extrapolation       0 15.869767 12.881250 18.858284
## 27         BE10  349 Extrapolation       0 16.006024 12.918899 19.093150
## 28         BE10  363 Extrapolation       0 16.131891 12.945518 19.318264
## 29         BE10  377 Extrapolation       0 16.248159 12.962121 19.534198
## 30         BE10  391 Extrapolation       0 16.355562 12.969646 19.741477
## 31         BE10  404 Extrapolation       0 16.447945 12.969265 19.926626
## 32         BE10  418 Extrapolation       0 16.540113 12.961671 20.118554
## 33         BE10  432 Extrapolation       0 16.625252 12.947348 20.303156
## 34         BE10  446 Extrapolation       0 16.703899 12.926972 20.480825
## 35         BE10  460 Extrapolation       0 16.776548 12.901166 20.651931
## 36         BE10  474 Extrapolation       0 16.843658 12.870498 20.816818
## 37         BE10  488 Extrapolation       0 16.905650 12.835490 20.975809
## 38         BE10  502 Extrapolation       0 16.962915 12.796621 21.129208
## 39         BE10  516 Extrapolation       0 17.015813 12.754329 21.277296
## 40         BE10  530 Extrapolation       0 17.064677 12.709012 21.420342
## 41         BE11    1   Rarefaction       0  1.000000  1.000000  1.000000
## 42         BE11   24   Rarefaction       0 12.039825 11.309707 12.769943
## 43         BE11   47   Rarefaction       0 17.059840 15.895096 18.224584
## 44         BE11   71   Rarefaction       0 20.301219 18.821286 21.781151
## 45         BE11   94   Rarefaction       0 22.469926 20.761138 24.178715
## 46         BE11  117   Rarefaction       0 24.094760 22.191163 25.998358
## 47         BE11  141   Rarefaction       0 25.411433 23.320187 27.502679
## 48         BE11  164   Rarefaction       0 26.423742 24.158623 28.688861
## 49         BE11  188   Rarefaction       0 27.295731 24.851856 29.739606
## 50         BE11  211   Rarefaction       0 28.002310 25.389025 30.615595
## 51         BE11  234   Rarefaction       0 28.614707 25.834219 31.395195
## 52         BE11  258   Rarefaction       0 29.177696 26.225682 32.129710
## 53         BE11  281   Rarefaction       0 29.661529 26.548396 32.774661
## 54         BE11  305   Rarefaction       0 30.121871 26.844222 33.399520
## 55         BE11  328   Rarefaction       0 30.530064 27.098155 33.961973
## 56         BE11  351   Rarefaction       0 30.913169 27.330057 34.496282
## 57         BE11  375   Rarefaction       0 31.291853 27.553720 35.029986
## 58         BE11  398   Rarefaction       0 31.638444 27.753731 35.523158
## 59         BE11  422   Rarefaction       0 31.985816 27.949329 36.022302
## 60         BE11  423      Observed       0 32.000000 27.957200 36.042800
## 61         BE11  424 Extrapolation       0 32.014162 27.965050 36.063274
## 62         BE11  446 Extrapolation       0 32.320137 28.132360 36.507914
## 63         BE11  468 Extrapolation       0 32.615669 28.289641 36.941697
## 64         BE11  490 Extrapolation       0 32.901113 28.437207 37.365020
## 65         BE11  512 Extrapolation       0 33.176815 28.575311 37.778319
## 66         BE11  535 Extrapolation       0 33.454993 28.709820 38.200166
## 67         BE11  557 Extrapolation       0 33.711790 28.829259 38.594321
## 68         BE11  579 Extrapolation       0 33.959822 28.939899 38.979745
## 69         BE11  601 Extrapolation       0 34.199389 29.041967 39.356811
## 70         BE11  623 Extrapolation       0 34.430778 29.135695 39.725862
## 71         BE11  646 Extrapolation       0 34.664246 29.225035 40.103456
## 72         BE11  668 Extrapolation       0 34.879769 29.302485 40.457054
## 73         BE11  690 Extrapolation       0 35.087936 29.372375 40.803498
## 74         BE11  712 Extrapolation       0 35.288999 29.434978 41.143020
## 75         BE11  734 Extrapolation       0 35.483198 29.490570 41.475826
## 76         BE11  757 Extrapolation       0 35.679142 29.541496 41.816787
## 77         BE11  779 Extrapolation       0 35.860025 29.583619 42.136430
## 78         BE11  801 Extrapolation       0 36.034734 29.619582 42.449886
## 79         BE11  823 Extrapolation       0 36.203481 29.649661 42.757300
## 80         BE11  846 Extrapolation       0 36.373742 29.675110 43.072374
## 81         BE12    1   Rarefaction       0  1.000000  1.000000  1.000000
## 82         BE12   12   Rarefaction       0  7.345013  6.903946  7.786081
## 83         BE12   24   Rarefaction       0 10.836125 10.073645 11.598605
## 84         BE12   35   Rarefaction       0 12.944978 11.978680 13.911276
## 85         BE12   47   Rarefaction       0 14.630594 13.499231 15.761958
## 86         BE12   58   Rarefaction       0 15.821994 14.571299 17.072689
## 87         BE12   70   Rarefaction       0 16.854248 15.494971 18.213524
## 88         BE12   81   Rarefaction       0 17.616638 16.171365 19.061911
## 89         BE12   93   Rarefaction       0 18.293314 16.765168 19.821460
## 90         BE12  104   Rarefaction       0 18.800803 17.204615 20.396990
## 91         BE12  116   Rarefaction       0 19.256608 17.593131 20.920085
## 92         BE12  127   Rarefaction       0 19.602546 17.882527 21.322564
## 93         BE12  139   Rarefaction       0 19.917558 18.140298 21.694818
## 94         BE12  150   Rarefaction       0 20.160627 18.334037 21.987217
## 95         BE12  162   Rarefaction       0 20.386195 18.508240 22.264150
## 96         BE12  173   Rarefaction       0 20.563733 18.640083 22.487383
## 97         BE12  185   Rarefaction       0 20.731389 18.758427 22.704351
## 98         BE12  196   Rarefaction       0 20.864776 18.846198 22.883354
## 99         BE12  208   Rarefaction       0 20.990431 18.920579 23.060282
## 100        BE12  209      Observed       0 21.000000 18.925769 23.074231
## 101        BE12  210 Extrapolation       0 21.009433 18.930810 23.088056
## 102        BE12  220 Extrapolation       0 21.096696 18.973392 23.220000
## 103        BE12  231 Extrapolation       0 21.179299 19.005112 23.353485
## 104        BE12  242 Extrapolation       0 21.249863 19.022884 23.476843
## 105        BE12  253 Extrapolation       0 21.310144 19.028492 23.591795
## 106        BE12  264 Extrapolation       0 21.361639 19.023565 23.699712
## 107        BE12  275 Extrapolation       0 21.405629 19.009580 23.801677
## 108        BE12  286 Extrapolation       0 21.443208 18.987866 23.898550
## 109        BE12  297 Extrapolation       0 21.475310 18.959608 23.991012
## 110        BE12  308 Extrapolation       0 21.502734 18.925858 24.079609
## 111        BE12  319 Extrapolation       0 21.526160 18.887543 24.164778
## 112        BE12  330 Extrapolation       0 21.546173 18.845474 24.246872
## 113        BE12  341 Extrapolation       0 21.563269 18.800358 24.326180
## 114        BE12  352 Extrapolation       0 21.577873 18.752810 24.402936
## 115        BE12  363 Extrapolation       0 21.590349 18.703361 24.477337
## 116        BE12  374 Extrapolation       0 21.601007 18.652467 24.549546
## 117        BE12  385 Extrapolation       0 21.610111 18.600522 24.619701
## 118        BE12  396 Extrapolation       0 21.617889 18.547861 24.687917
## 119        BE12  407 Extrapolation       0 21.624533 18.494770 24.754296
## 120        BE12  418 Extrapolation       0 21.630209 18.441494 24.818923
## 121        BE13    1   Rarefaction       0  1.000000  1.000000  1.000000
## 122        BE13   19   Rarefaction       0 12.630236 12.126511 13.133960
## 123        BE13   37   Rarefaction       0 18.418019 17.383861 19.452177
## 124        BE13   56   Rarefaction       0 22.229059 20.749665 23.708453
## 125        BE13   74   Rarefaction       0 24.851477 23.016654 26.686300
## 126        BE13   92   Rarefaction       0 26.959730 24.812585 29.106874
## 127        BE13  111   Rarefaction       0 28.848596 26.406233 31.290960
## 128        BE13  129   Rarefaction       0 30.427141 27.730441 33.123840
## 129        BE13  148   Rarefaction       0 31.933919 28.989913 34.877926
## 130        BE13  166   Rarefaction       0 33.243929 30.081539 36.406318
## 131        BE13  184   Rarefaction       0 34.459533 31.090811 37.828255
## 132        BE13  203   Rarefaction       0 35.654192 32.077487 39.230898
## 133        BE13  221   Rarefaction       0 36.711440 32.944243 40.478636
## 134        BE13  240   Rarefaction       0 37.756304 33.792306 41.720303
## 135        BE13  258   Rarefaction       0 38.684490 34.535881 42.833099
## 136        BE13  276   Rarefaction       0 39.557362 35.223960 43.890764
## 137        BE13  295   Rarefaction       0 40.423182 35.892548 44.953816
## 138        BE13  313   Rarefaction       0 41.194588 36.473281 45.915895
## 139        BE13  332   Rarefaction       0 41.960961 37.032552 46.889370
## 140        BE13  333      Observed       0 42.000000 37.060491 46.939509
## 141        BE13  334 Extrapolation       0 42.038913 37.088282 46.989544
## 142        BE13  351 Extrapolation       0 42.681509 37.538501 47.824517
## 143        BE13  368 Extrapolation       0 43.289684 37.948073 48.631294
## 144        BE13  386 Extrapolation       0 43.898162 38.339694 49.456630
## 145        BE13  403 Extrapolation       0 44.441165 38.672053 50.210277
## 146        BE13  421 Extrapolation       0 44.984440 38.986656 50.982223
## 147        BE13  438 Extrapolation       0 45.469255 39.250770 51.687739
## 148        BE13  456 Extrapolation       0 45.954312 39.497819 52.410805
## 149        BE13  473 Extrapolation       0 46.387175 39.702464 53.071885
## 150        BE13  491 Extrapolation       0 46.820254 39.890966 53.749542
## 151        BE13  508 Extrapolation       0 47.206731 40.044301 54.369160
## 152        BE13  526 Extrapolation       0 47.593401 40.182470 55.004332
## 153        BE13  543 Extrapolation       0 47.938464 40.291825 55.585102
## 154        BE13  561 Extrapolation       0 48.283699 40.386953 56.180444
## 155        BE13  578 Extrapolation       0 48.591784 40.458770 56.724799
## 156        BE13  596 Extrapolation       0 48.900024 40.517220 57.282829
## 157        BE13  613 Extrapolation       0 49.175096 40.557091 57.793100
## 158        BE13  631 Extrapolation       0 49.450305 40.584362 58.316247
## 159        BE13  648 Extrapolation       0 49.695900 40.597107 58.794692
## 160        BE13  666 Extrapolation       0 49.941617 40.597930 59.285305
## 161        BE14    1   Rarefaction       0  1.000000  1.000000  1.000000
## 162        BE14   20   Rarefaction       0 13.090894 12.409245 13.772543
## 163        BE14   40   Rarefaction       0 19.715451 18.394054 21.036848
## 164        BE14   60   Rarefaction       0 24.044829 22.238708 25.850949
## 165        BE14   79   Rarefaction       0 27.113808 24.945249 29.282368
## 166        BE14   99   Rarefaction       0 29.707403 27.228117 32.186689
## 167        BE14  119   Rarefaction       0 31.874377 29.133850 34.614904
## 168        BE14  138   Rarefaction       0 33.653495 30.696131 36.610860
## 169        BE14  158   Rarefaction       0 35.306797 32.143610 38.469983
## 170        BE14  178   Rarefaction       0 36.786473 33.432635 40.140311
## 171        BE14  197   Rarefaction       0 38.065288 34.538960 41.591615
## 172        BE14  217   Rarefaction       0 39.303941 35.600836 43.007046
## 173        BE14  237   Rarefaction       0 40.452149 36.573888 44.330410
## 174        BE14  256   Rarefaction       0 41.472750 37.427359 45.518141
## 175        BE14  276   Rarefaction       0 42.483624 38.259874 46.707373
## 176        BE14  296   Rarefaction       0 43.437131 39.031358 47.842904
## 177        BE14  315   Rarefaction       0 44.294857 39.712017 48.877696
## 178        BE14  335   Rarefaction       0 45.150687 40.376499 49.924875
## 179        BE14  355   Rarefaction       0 45.960674 40.989454 50.931895
## 180        BE14  356      Observed       0 46.000000 41.018766 50.981234
## 181        BE14  357 Extrapolation       0 46.039215 41.047953 51.030478
## 182        BE14  375 Extrapolation       0 46.726552 41.551936 51.901169
## 183        BE14  394 Extrapolation       0 47.415292 42.041100 52.789485
## 184        BE14  413 Extrapolation       0 48.068189 42.488081 53.648297
## 185        BE14  431 Extrapolation       0 48.655350 42.874395 54.436305
## 186        BE14  450 Extrapolation       0 49.243710 43.244922 55.242499
## 187        BE14  469 Extrapolation       0 49.801451 43.579255 56.023646
## 188        BE14  487 Extrapolation       0 50.303037 43.864521 56.741552
## 189        BE14  506 Extrapolation       0 50.805647 44.134425 57.476869
## 190        BE14  525 Extrapolation       0 51.282100 44.374293 58.189906
## 191        BE14  543 Extrapolation       0 51.710582 44.575641 58.845524
## 192        BE14  562 Extrapolation       0 52.139940 44.762674 59.517205
## 193        BE14  581 Extrapolation       0 52.546952 44.925320 60.168585
## 194        BE14  599 Extrapolation       0 52.912986 45.058487 60.767485
## 195        BE14  618 Extrapolation       0 53.279767 45.178550 61.380985
## 196        BE14  637 Extrapolation       0 53.627460 45.279080 61.975840
## 197        BE14  655 Extrapolation       0 53.940146 45.357625 62.522668
## 198        BE14  674 Extrapolation       0 54.253471 45.424221 63.082722
## 199        BE14  693 Extrapolation       0 54.550490 45.475321 63.625659
## 200        BE14  712 Extrapolation       0 54.832051 45.512123 64.151979
## 201        BE15    1   Rarefaction       0  1.000000  1.000000  1.000000
## 202        BE15    9   Rarefaction       0  7.814112  7.607863  8.020360
## 203        BE15   18   Rarefaction       0 13.581021 12.956719 14.205323
## 204        BE15   26   Rarefaction       0 17.562965 16.547861 18.578069
## 205        BE15   35   Rarefaction       0 21.159334 19.736453 22.582215
## 206        BE15   44   Rarefaction       0 24.092468 22.307806 25.877130
## 207        BE15   52   Rarefaction       0 26.293249 24.224688 28.361811
## 208        BE15   61   Rarefaction       0 28.424764 26.074529 30.774998
## 209        BE15   69   Rarefaction       0 30.080357 27.508501 32.652212
## 210        BE15   78   Rarefaction       0 31.730038 28.935370 34.524705
## 211        BE15   87   Rarefaction       0 33.197592 30.201939 36.193246
## 212        BE15   95   Rarefaction       0 34.376523 31.215384 37.537662
## 213        BE15  104   Rarefaction       0 35.585023 32.247008 38.923037
## 214        BE15  112   Rarefaction       0 36.570246 33.078928 40.061563
## 215        BE15  121   Rarefaction       0 37.593139 33.929264 41.257015
## 216        BE15  130   Rarefaction       0 38.537964 34.697411 42.378518
## 217        BE15  138   Rarefaction       0 39.320806 35.317032 43.324581
## 218        BE15  147   Rarefaction       0 40.145276 35.948659 44.341894
## 219        BE15  156   Rarefaction       0 40.917197 36.516364 45.318031
## 220        BE15  157      Observed       0 41.000000 36.575727 45.424273
## 221        BE15  158 Extrapolation       0 41.082235 36.634369 45.530101
## 222        BE15  166 Extrapolation       0 41.720138 37.077956 46.362321
## 223        BE15  174 Extrapolation       0 42.323882 37.477419 47.170344
## 224        BE15  182 Extrapolation       0 42.895295 37.834738 47.955852
## 225        BE15  190 Extrapolation       0 43.436109 38.152030 48.720187
## 226        BE15  199 Extrapolation       0 44.009986 38.463882 49.556090
## 227        BE15  207 Extrapolation       0 44.491108 38.703459 50.278757
## 228        BE15  215 Extrapolation       0 44.946466 38.909928 50.983005
## 229        BE15  223 Extrapolation       0 45.377440 39.085446 51.669435
## 230        BE15  231 Extrapolation       0 45.785336 39.232093 52.338578
## 231        BE15  240 Extrapolation       0 46.218168 39.365034 53.071301
## 232        BE15  248 Extrapolation       0 46.581042 39.456808 53.705276
## 233        BE15  256 Extrapolation       0 46.924485 39.525584 54.323385
## 234        BE15  264 Extrapolation       0 47.249536 39.573024 54.926047
## 235        BE15  272 Extrapolation       0 47.557180 39.600687 55.513674
## 236        BE15  281 Extrapolation       0 47.883633 39.609978 56.157288
## 237        BE15  289 Extrapolation       0 48.157322 39.600332 56.714312
## 238        BE15  297 Extrapolation       0 48.416355 39.575150 57.257559
## 239        BE15  305 Extrapolation       0 48.661516 39.535605 57.787427
## 240        BE15  314 Extrapolation       0 48.921666 39.475310 58.368022
## 241        BE16    1   Rarefaction       0  1.000000  1.000000  1.000000
## 242        BE16   20   Rarefaction       0  9.838871  9.291945 10.385796
## 243        BE16   39   Rarefaction       0 13.870646 12.926121 14.815171
## 244        BE16   58   Rarefaction       0 16.410256 15.146740 17.673772
## 245        BE16   77   Rarefaction       0 18.170957 16.653526 19.688388
## 246        BE16   97   Rarefaction       0 19.523013 17.792186 21.253839
## 247        BE16  116   Rarefaction       0 20.500838 18.602864 22.398812
## 248        BE16  135   Rarefaction       0 21.275369 19.233445 23.317292
## 249        BE16  154   Rarefaction       0 21.904830 19.734567 24.075092
## 250        BE16  174   Rarefaction       0 22.452784 20.158870 24.746698
## 251        BE16  193   Rarefaction       0 22.891794 20.487969 25.295620
## 252        BE16  212   Rarefaction       0 23.270094 20.761650 25.778537
## 253        BE16  231   Rarefaction       0 23.600869 20.991799 26.209939
## 254        BE16  250   Rarefaction       0 23.893699 21.187134 26.600263
## 255        BE16  270   Rarefaction       0 24.168590 21.362121 26.975058
## 256        BE16  289   Rarefaction       0 24.403287 21.503989 27.302585
## 257        BE16  308   Rarefaction       0 24.615804 21.625239 27.606370
## 258        BE16  327   Rarefaction       0 24.808491 21.727731 27.889252
## 259        BE16  347   Rarefaction       0 24.991379 21.816214 28.166544
## 260        BE16  348      Observed       0 25.000000 21.820116 28.179884
## 261        BE16  349 Extrapolation       0 25.008571 21.823758 28.193384
## 262        BE16  367 Extrapolation       0 25.154722 21.881174 28.428269
## 263        BE16  385 Extrapolation       0 25.286509 21.924018 28.649000
## 264        BE16  403 Extrapolation       0 25.405344 21.953551 28.857137
## 265        BE16  422 Extrapolation       0 25.518135 21.971685 29.064585
## 266        BE16  440 Extrapolation       0 25.614207 21.977796 29.250617
## 267        BE16  458 Extrapolation       0 25.700837 21.974329 29.427345
## 268        BE16  476 Extrapolation       0 25.778953 21.962376 29.595530
## 269        BE16  495 Extrapolation       0 25.853096 21.941668 29.764524
## 270        BE16  513 Extrapolation       0 25.916248 21.915351 29.917145
## 271        BE16  531 Extrapolation       0 25.973195 21.883372 30.063017
## 272        BE16  549 Extrapolation       0 26.024544 21.846488 30.202600
## 273        BE16  568 Extrapolation       0 26.073282 21.802987 30.343576
## 274        BE16  586 Extrapolation       0 26.114795 21.758090 30.471500
## 275        BE16  604 Extrapolation       0 26.152228 21.710163 30.594294
## 276        BE16  622 Extrapolation       0 26.185983 21.659694 30.712272
## 277        BE16  641 Extrapolation       0 26.218021 21.604144 30.831897
## 278        BE16  659 Extrapolation       0 26.245309 21.549763 30.940856
## 279        BE16  677 Extrapolation       0 26.269916 21.494024 31.045808
## 280        BE16  696 Extrapolation       0 26.293271 21.434049 31.152494
## 281        BE17    1   Rarefaction       0  1.000000  1.000000  1.000000
## 282        BE17   12   Rarefaction       0  9.239218  8.922475  9.555961
## 283        BE17   24   Rarefaction       0 14.739250 13.957987 15.520513
## 284        BE17   35   Rarefaction       0 18.171689 17.048482 19.294895
## 285        BE17   47   Rarefaction       0 20.939536 19.538931 22.340141
## 286        BE17   58   Rarefaction       0 22.907156 21.318590 24.495722
## 287        BE17   70   Rarefaction       0 24.622764 22.880283 26.365244
## 288        BE17   81   Rarefaction       0 25.898287 24.047653 27.748922
## 289        BE17   93   Rarefaction       0 27.036050 25.092170 28.979930
## 290        BE17  104   Rarefaction       0 27.890092 25.876384 29.903799
## 291        BE17  116   Rarefaction       0 28.652185 26.573873 30.730497
## 292        BE17  127   Rarefaction       0 29.220580 27.090287 31.350872
## 293        BE17  139   Rarefaction       0 29.721365 27.539635 31.903096
## 294        BE17  150   Rarefaction       0 30.087637 27.861856 32.313417
## 295        BE17  162   Rarefaction       0 30.401422 28.129374 32.673469
## 296        BE17  173   Rarefaction       0 30.621954 28.307816 32.936092
## 297        BE17  185   Rarefaction       0 30.800304 28.439112 33.161495
## 298        BE17  196   Rarefaction       0 30.915086 28.508370 33.321802
## 299        BE17  208   Rarefaction       0 30.995215 28.534712 33.455719
## 300        BE17  209      Observed       0 31.000000 28.534773 33.465227
## 301        BE17  210 Extrapolation       0 31.004524 28.534551 33.474497
## 302        BE17  220 Extrapolation       0 31.038186 28.519412 33.556959
## 303        BE17  231 Extrapolation       0 31.058789 28.483243 33.634336
## 304        BE17  242 Extrapolation       0 31.069907 28.434297 33.705517
## 305        BE17  253 Extrapolation       0 31.075905 28.377200 33.774610
## 306        BE17  264 Extrapolation       0 31.079142 28.314728 33.843555
## 307        BE17  275 Extrapolation       0 31.080888 28.248627 33.913149
## 308        BE17  286 Extrapolation       0 31.081830 28.180055 33.983605
## 309        BE17  297 Extrapolation       0 31.082339 28.109822 34.054855
## 310        BE17  308 Extrapolation       0 31.082613 28.038520 34.126706
## 311        BE17  319 Extrapolation       0 31.082761 27.966597 34.198926
## 312        BE17  330 Extrapolation       0 31.082841 27.894398 34.271284
## 313        BE17  341 Extrapolation       0 31.082884 27.822199 34.343569
## 314        BE17  352 Extrapolation       0 31.082907 27.750215 34.415600
## 315        BE17  363 Extrapolation       0 31.082920 27.678619 34.487221
## 316        BE17  374 Extrapolation       0 31.082927 27.607548 34.558305
## 317        BE17  385 Extrapolation       0 31.082930 27.537112 34.628749
## 318        BE17  396 Extrapolation       0 31.082932 27.467396 34.698469
## 319        BE17  407 Extrapolation       0 31.082933 27.398467 34.767400
## 320        BE17  418 Extrapolation       0 31.082934 27.330377 34.835491
## 321        BE18    1   Rarefaction       0  1.000000  1.000000  1.000000
## 322        BE18   21   Rarefaction       0 12.112884 11.432392 12.793375
## 323        BE18   41   Rarefaction       0 18.210635 16.941891 19.479379
## 324        BE18   62   Rarefaction       0 22.736555 20.921352 24.551758
## 325        BE18   82   Rarefaction       0 26.072384 23.803649 28.341120
## 326        BE18  103   Rarefaction       0 28.939061 26.253143 31.624979
## 327        BE18  123   Rarefaction       0 31.252803 28.211709 34.293896
## 328        BE18  144   Rarefaction       0 33.362580 29.979919 36.745242
## 329        BE18  164   Rarefaction       0 35.137727 31.450383 38.825071
## 330        BE18  185   Rarefaction       0 36.807405 32.814444 40.800366
## 331        BE18  205   Rarefaction       0 38.247899 33.972415 42.523383
## 332        BE18  225   Rarefaction       0 39.568693 35.015379 44.122006
## 333        BE18  246   Rarefaction       0 40.848993 36.006191 45.691795
## 334        BE18  266   Rarefaction       0 41.984018 36.865733 47.102303
## 335        BE18  287   Rarefaction       0 43.102250 37.693534 48.510965
## 336        BE18  307   Rarefaction       0 44.108755 38.421425 49.796085
## 337        BE18  328   Rarefaction       0 45.114332 39.131688 51.096977
## 338        BE18  348   Rarefaction       0 46.030936 39.763960 52.297911
## 339        BE18  369   Rarefaction       0 46.956757 40.387613 53.525900
## 340        BE18  370      Observed       0 47.000000 40.416369 53.583631
## 341        BE18  371 Extrapolation       0 47.043170 40.445042 53.641298
## 342        BE18  390 Extrapolation       0 47.849673 40.974241 54.725105
## 343        BE18  409 Extrapolation       0 48.630655 41.474149 55.787162
## 344        BE18  429 Extrapolation       0 49.426060 41.969337 56.882782
## 345        BE18  448 Extrapolation       0 50.157161 42.410985 57.903336
## 346        BE18  468 Extrapolation       0 50.901762 42.846444 58.957081
## 347        BE18  487 Extrapolation       0 51.586168 43.233061 59.939275
## 348        BE18  506 Extrapolation       0 52.248917 43.594237 60.903597
## 349        BE18  526 Extrapolation       0 52.923905 43.947999 61.899810
## 350        BE18  545 Extrapolation       0 53.544324 44.260011 62.828637
## 351        BE18  565 Extrapolation       0 54.176200 44.564241 63.788158
## 352        BE18  584 Extrapolation       0 54.756993 44.831321 64.682664
## 353        BE18  604 Extrapolation       0 55.348510 45.090483 65.606538
## 354        BE18  623 Extrapolation       0 55.892208 45.316836 66.467580
## 355        BE18  642 Extrapolation       0 56.418702 45.524821 67.312583
## 356        BE18  662 Extrapolation       0 56.954917 45.724929 68.184906
## 357        BE18  681 Extrapolation       0 57.447784 45.898085 68.997482
## 358        BE18  701 Extrapolation       0 57.949751 46.063480 69.836022
## 359        BE18  720 Extrapolation       0 58.411138 46.205437 70.616840
## 360        BE18  740 Extrapolation       0 58.881045 46.339779 71.422311
## 361        BE19    1   Rarefaction       0  1.000000  1.000000  1.000000
## 362        BE19   20   Rarefaction       0 11.653124 10.883599 12.422648
## 363        BE19   39   Rarefaction       0 17.536342 16.180180 18.892503
## 364        BE19   58   Rarefaction       0 21.624550 19.842112 23.406989
## 365        BE19   77   Rarefaction       0 24.681593 22.586569 26.776618
## 366        BE19   96   Rarefaction       0 27.060479 24.732726 29.388231
## 367        BE19  115   Rarefaction       0 28.957737 26.451075 31.464399
## 368        BE19  134   Rarefaction       0 30.494614 27.843796 33.145433
## 369        BE19  153   Rarefaction       0 31.751758 28.978657 34.524858
## 370        BE19  172   Rarefaction       0 32.786321 29.904787 35.667856
## 371        BE19  191   Rarefaction       0 33.640998 30.660261 36.621735
## 372        BE19  210   Rarefaction       0 34.349033 31.275879 37.422188
## 373        BE19  229   Rarefaction       0 34.937175 31.777188 38.097161
## 374        BE19  248   Rarefaction       0 35.427491 32.185675 38.669307
## 375        BE19  267   Rarefaction       0 35.838555 32.519562 39.157548
## 376        BE19  286   Rarefaction       0 36.186226 32.794372 39.578081
## 377        BE19  305   Rarefaction       0 36.484182 33.023341 39.945024
## 378        BE19  324   Rarefaction       0 36.744274 33.217712 40.270836
## 379        BE19  344   Rarefaction       0 36.988406 33.395301 40.581511
## 380        BE19  345      Observed       0 37.000000 33.403619 40.596381
## 381        BE19  346 Extrapolation       0 37.011544 33.411889 40.611199
## 382        BE19  364 Extrapolation       0 37.210970 33.552483 40.869458
## 383        BE19  382 Extrapolation       0 37.395374 33.677519 41.113230
## 384        BE19  400 Extrapolation       0 37.565887 33.787356 41.344419
## 385        BE19  418 Extrapolation       0 37.723556 33.882609 41.564502
## 386        BE19  436 Extrapolation       0 37.869347 33.964070 41.774624
## 387        BE19  454 Extrapolation       0 38.004156 34.032641 41.975670
## 388        BE19  472 Extrapolation       0 38.128809 34.089281 42.168338
## 389        BE19  490 Extrapolation       0 38.244073 34.134960 42.353186
## 390        BE19  508 Extrapolation       0 38.350654 34.170634 42.530674
## 391        BE19  527 Extrapolation       0 38.454458 34.198446 42.710470
## 392        BE19  545 Extrapolation       0 38.545191 34.216375 42.874007
## 393        BE19  563 Extrapolation       0 38.629089 34.226931 43.031246
## 394        BE19  581 Extrapolation       0 38.706667 34.230860 43.182473
## 395        BE19  599 Extrapolation       0 38.778401 34.228844 43.327958
## 396        BE19  617 Extrapolation       0 38.844731 34.221506 43.467956
## 397        BE19  635 Extrapolation       0 38.906065 34.209413 43.602716
## 398        BE19  653 Extrapolation       0 38.962778 34.193081 43.732475
## 399        BE19  671 Extrapolation       0 39.015219 34.172974 43.857465
## 400        BE19  690 Extrapolation       0 39.066295 34.148118 43.984471
## 401         BE2    1   Rarefaction       0  1.000000  1.000000  1.000000
## 402         BE2   25   Rarefaction       0 13.023076 12.296658 13.749494
## 403         BE2   49   Rarefaction       0 17.407399 16.153944 18.660854
## 404         BE2   73   Rarefaction       0 19.980530 18.387162 21.573897
## 405         BE2   97   Rarefaction       0 21.838222 20.009214 23.667230
## 406         BE2  121   Rarefaction       0 23.304229 21.302423 25.306035
## 407         BE2  145   Rarefaction       0 24.518636 22.383413 26.653859
## 408         BE2  169   Rarefaction       0 25.557721 23.313800 27.801642
## 409         BE2  193   Rarefaction       0 26.467683 24.130512 28.804854
## 410         BE2  217   Rarefaction       0 27.278150 24.857450 29.698851
## 411         BE2  241   Rarefaction       0 28.008871 25.510951 30.506792
## 412         BE2  265   Rarefaction       0 28.673349 26.102578 31.244120
## 413         BE2  289   Rarefaction       0 29.280941 26.640656 31.921227
## 414         BE2  313   Rarefaction       0 29.838156 27.131177 32.545135
## 415         BE2  337   Rarefaction       0 30.349501 27.578390 33.120612
## 416         BE2  361   Rarefaction       0 30.818092 27.985226 33.650957
## 417         BE2  385   Rarefaction       0 31.246090 28.353608 34.138572
## 418         BE2  409   Rarefaction       0 31.635050 28.684706 34.585394
## 419         BE2  433   Rarefaction       0 31.986175 28.979133 34.993218
## 420         BE2  434      Observed       0 32.000000 28.990609 35.009391
## 421         BE2  435 Extrapolation       0 32.013761 29.001820 35.025703
## 422         BE2  457 Extrapolation       0 32.301007 29.232540 35.369473
## 423         BE2  480 Extrapolation       0 32.571742 29.442286 35.701198
## 424         BE2  503 Extrapolation       0 32.815250 29.621719 36.008780
## 425         BE2  526 Extrapolation       0 33.034269 29.772883 36.295655
## 426         BE2  548 Extrapolation       0 33.223124 29.892984 36.553264
## 427         BE2  571 Extrapolation       0 33.401124 29.995010 36.807239
## 428         BE2  594 Extrapolation       0 33.561224 30.075065 37.047382
## 429         BE2  617 Extrapolation       0 33.705222 30.135195 37.275249
## 430         BE2  640 Extrapolation       0 33.834739 30.177349 37.492129
## 431         BE2  662 Extrapolation       0 33.946419 30.202539 37.690298
## 432         BE2  685 Extrapolation       0 34.051680 30.214702 37.888657
## 433         BE2  708 Extrapolation       0 34.146354 30.213931 38.078778
## 434         BE2  731 Extrapolation       0 34.231508 30.201674 38.261342
## 435         BE2  754 Extrapolation       0 34.308098 30.179251 38.436945
## 436         BE2  776 Extrapolation       0 34.374140 30.149395 38.598884
## 437         BE2  799 Extrapolation       0 34.436386 30.110439 38.762332
## 438         BE2  822 Extrapolation       0 34.492372 30.064532 38.920211
## 439         BE2  845 Extrapolation       0 34.542727 30.012557 39.072897
## 440         BE2  868 Extrapolation       0 34.588019 29.955304 39.220733
## 441        BE20    1   Rarefaction       0  1.000000  1.000000  1.000000
## 442        BE20    9   Rarefaction       0  4.998871  4.537811  5.459930
## 443        BE20   17   Rarefaction       0  7.549573  6.814432  8.284713
## 444        BE20   25   Rarefaction       0  9.491694  8.502734 10.480653
## 445        BE20   33   Rarefaction       0 11.025323  9.780664 12.269982
## 446        BE20   41   Rarefaction       0 12.273575 10.770708 13.776442
## 447        BE20   50   Rarefaction       0 13.433704 11.640466 15.226942
## 448        BE20   58   Rarefaction       0 14.304538 12.255953 16.353124
## 449        BE20   66   Rarefaction       0 15.061033 12.761454 17.360612
## 450        BE20   74   Rarefaction       0 15.728438 13.183159 18.273717
## 451        BE20   82   Rarefaction       0 16.325805 13.540467 19.111144
## 452        BE20   90   Rarefaction       0 16.867926 13.848087 19.887766
## 453        BE20   99   Rarefaction       0 17.426259 14.148814 20.703704
## 454        BE20  107   Rarefaction       0 17.886975 14.385523 21.388426
## 455        BE20  115   Rarefaction       0 18.321915 14.600582 22.043247
## 456        BE20  123   Rarefaction       0 18.737000 14.799386 22.674614
## 457        BE20  131   Rarefaction       0 19.136982 14.986197 23.287767
## 458        BE20  139   Rarefaction       0 19.525643 15.164345 23.886942
## 459        BE20  148   Rarefaction       0 19.953020 15.357536 24.548504
## 460        BE20  149      Observed       0 20.000000 15.378643 24.621357
## 461        BE20  150 Extrapolation       0 20.046889 15.399681 24.694098
## 462        BE20  157 Extrapolation       0 20.372595 15.544965 25.200225
## 463        BE20  165 Extrapolation       0 20.739485 15.706598 25.772372
## 464        BE20  173 Extrapolation       0 21.100758 15.863326 26.338189
## 465        BE20  181 Extrapolation       0 21.456499 16.014994 26.898004
## 466        BE20  188 Extrapolation       0 21.763302 16.143474 27.383130
## 467        BE20  196 Extrapolation       0 22.108900 16.285428 27.932371
## 468        BE20  204 Extrapolation       0 22.449206 16.422169 28.476242
## 469        BE20  212 Extrapolation       0 22.784301 16.553726 29.014876
## 470        BE20  220 Extrapolation       0 23.114267 16.680160 29.548373
## 471        BE20  227 Extrapolation       0 23.398839 16.786653 30.011025
## 472        BE20  235 Extrapolation       0 23.719395 16.903728 30.535063
## 473        BE20  243 Extrapolation       0 24.035044 17.015976 31.054111
## 474        BE20  251 Extrapolation       0 24.345859 17.123530 31.568189
## 475        BE20  259 Extrapolation       0 24.651916 17.226529 32.077302
## 476        BE20  266 Extrapolation       0 24.915869 17.313032 32.518705
## 477        BE20  274 Extrapolation       0 25.213198 17.407888 33.018508
## 478        BE20  282 Extrapolation       0 25.505975 17.498617 33.513334
## 479        BE20  290 Extrapolation       0 25.794270 17.585368 34.003171
## 480        BE20  298 Extrapolation       0 26.078150 17.668291 34.488009
## 481        BE21    1   Rarefaction       0  1.000000  1.000000  1.000000
## 482        BE21   21   Rarefaction       0 13.115679 12.503641 13.727716
## 483        BE21   42   Rarefaction       0 19.201210 18.123050 20.279370
## 484        BE21   63   Rarefaction       0 22.873653 21.478995 24.268311
## 485        BE21   83   Rarefaction       0 25.261995 23.605976 26.918013
## 486        BE21  104   Rarefaction       0 27.101914 25.181468 29.022359
## 487        BE21  125   Rarefaction       0 28.509440 26.330434 30.688445
## 488        BE21  145   Rarefaction       0 29.577591 27.161115 31.994068
## 489        BE21  166   Rarefaction       0 30.494988 27.842412 33.147563
## 490        BE21  187   Rarefaction       0 31.257564 28.385058 34.130071
## 491        BE21  207   Rarefaction       0 31.874714 28.808662 34.940766
## 492        BE21  228   Rarefaction       0 32.434287 29.181369 35.687204
## 493        BE21  249   Rarefaction       0 32.922967 29.498690 36.347244
## 494        BE21  269   Rarefaction       0 33.336297 29.761551 36.911042
## 495        BE21  290   Rarefaction       0 33.726760 30.005279 37.448241
## 496        BE21  311   Rarefaction       0 34.081608 30.222549 37.940667
## 497        BE21  331   Rarefaction       0 34.393189 30.409285 38.377093
## 498        BE21  352   Rarefaction       0 34.698527 30.587484 38.809571
## 499        BE21  373   Rarefaction       0 34.986631 30.749811 39.223451
## 500        BE21  374      Observed       0 35.000000 30.757177 39.242823
## 501        BE21  375 Extrapolation       0 35.013340 30.764510 39.262171
## 502        BE21  394 Extrapolation       0 35.261452 30.897323 39.625581
## 503        BE21  414 Extrapolation       0 35.511937 31.023602 40.000272
## 504        BE21  433 Extrapolation       0 35.740160 31.130632 40.349687
## 505        BE21  453 Extrapolation       0 35.970566 31.229781 40.711351
## 506        BE21  473 Extrapolation       0 36.191308 31.315339 41.067277
## 507        BE21  492 Extrapolation       0 36.392431 31.384400 41.400461
## 508        BE21  512 Extrapolation       0 36.595478 31.444722 41.746234
## 509        BE21  532 Extrapolation       0 36.790008 31.492921 42.087096
## 510        BE21  551 Extrapolation       0 36.967249 31.528048 42.406450
## 511        BE21  571 Extrapolation       0 37.146186 31.554422 42.737949
## 512        BE21  590 Extrapolation       0 37.309219 31.569993 43.048444
## 513        BE21  610 Extrapolation       0 37.473812 31.577023 43.370601
## 514        BE21  630 Extrapolation       0 37.631501 31.575077 43.687925
## 515        BE21  649 Extrapolation       0 37.775175 31.565475 43.984874
## 516        BE21  669 Extrapolation       0 37.920223 31.547772 44.292675
## 517        BE21  689 Extrapolation       0 38.059188 31.522830 44.595546
## 518        BE21  708 Extrapolation       0 38.185802 31.492914 44.878689
## 519        BE21  728 Extrapolation       0 38.313627 31.455357 45.171897
## 520        BE21  748 Extrapolation       0 38.436091 31.412042 45.460139
## 521        BE22    1   Rarefaction       0  1.000000  1.000000  1.000000
## 522        BE22   13   Rarefaction       0  7.899465  7.453756  8.345173
## 523        BE22   26   Rarefaction       0 11.603777 10.815910 12.391643
## 524        BE22   39   Rarefaction       0 13.950397 12.920892 14.979901
## 525        BE22   52   Rarefaction       0 15.644976 14.429901 16.860051
## 526        BE22   64   Rarefaction       0 16.872635 15.510981 18.234288
## 527        BE22   77   Rarefaction       0 17.957380 16.450535 19.464226
## 528        BE22   90   Rarefaction       0 18.852567 17.209681 20.495454
## 529        BE22  103   Rarefaction       0 19.599490 17.828365 21.370616
## 530        BE22  116   Rarefaction       0 20.226705 18.334864 22.118546
## 531        BE22  128   Rarefaction       0 20.718151 18.721263 22.715039
## 532        BE22  141   Rarefaction       0 21.171919 19.067491 23.276348
## 533        BE22  154   Rarefaction       0 21.557731 19.351268 23.764194
## 534        BE22  167   Rarefaction       0 21.887440 19.583227 24.191654
## 535        BE22  179   Rarefaction       0 22.150670 19.758933 24.542407
## 536        BE22  192   Rarefaction       0 22.399347 19.914611 24.884082
## 537        BE22  205   Rarefaction       0 22.617351 20.040508 25.194193
## 538        BE22  218   Rarefaction       0 22.811278 20.142386 25.480170
## 539        BE22  231   Rarefaction       0 22.987069 20.225540 25.748598
## 540        BE22  232      Observed       0 23.000000 20.231305 25.768695
## 541        BE22  233 Extrapolation       0 23.012857 20.236982 25.788731
## 542        BE22  245 Extrapolation       0 23.161503 20.298305 26.024701
## 543        BE22  257 Extrapolation       0 23.300229 20.347506 26.252953
## 544        BE22  269 Extrapolation       0 23.429698 20.385339 26.474057
## 545        BE22  281 Extrapolation       0 23.550527 20.412657 26.688397
## 546        BE22  293 Extrapolation       0 23.663292 20.430345 26.896239
## 547        BE22  305 Extrapolation       0 23.768532 20.439281 27.097784
## 548        BE22  318 Extrapolation       0 23.874632 20.440054 27.309209
## 549        BE22  330 Extrapolation       0 23.965768 20.433389 27.498147
## 550        BE22  342 Extrapolation       0 24.050823 20.420388 27.681258
## 551        BE22  354 Extrapolation       0 24.130201 20.401718 27.858685
## 552        BE22  366 Extrapolation       0 24.204283 20.377989 28.030577
## 553        BE22  378 Extrapolation       0 24.273420 20.349757 28.197084
## 554        BE22  391 Extrapolation       0 24.343123 20.314674 28.371571
## 555        BE22  403 Extrapolation       0 24.402995 20.278626 28.527364
## 556        BE22  415 Extrapolation       0 24.458872 20.239484 28.678260
## 557        BE22  427 Extrapolation       0 24.511020 20.197618 28.824422
## 558        BE22  439 Extrapolation       0 24.559688 20.153365 28.966010
## 559        BE22  451 Extrapolation       0 24.605108 20.107028 29.103187
## 560        BE22  464 Extrapolation       0 24.650899 20.054796 29.247002
## 561        BE23    1   Rarefaction       0  1.000000  1.000000  1.000000
## 562        BE23   13   Rarefaction       0  7.303662  6.815329  7.791994
## 563        BE23   25   Rarefaction       0 10.396894  9.583033 11.210756
## 564        BE23   37   Rarefaction       0 12.413750 11.301608 13.525892
## 565        BE23   49   Rarefaction       0 13.902563 12.556611 15.248515
## 566        BE23   62   Rarefaction       0 15.168013 13.629428 16.706599
## 567        BE23   74   Rarefaction       0 16.118072 14.437494 17.798649
## 568        BE23   86   Rarefaction       0 16.910940 15.107829 18.714051
## 569        BE23   98   Rarefaction       0 17.578553 15.663194 19.493912
## 570        BE23  111   Rarefaction       0 18.187333 16.155969 20.218698
## 571        BE23  123   Rarefaction       0 18.663242 16.527145 20.799340
## 572        BE23  135   Rarefaction       0 19.072157 16.832378 21.311937
## 573        BE23  147   Rarefaction       0 19.426951 17.084096 21.769806
## 574        BE23  159   Rarefaction       0 19.738685 17.293186 22.184183
## 575        BE23  172   Rarefaction       0 20.038857 17.482467 22.595247
## 576        BE23  184   Rarefaction       0 20.290118 17.631371 22.948865
## 577        BE23  196   Rarefaction       0 20.523969 17.762447 23.285492
## 578        BE23  208   Rarefaction       0 20.746715 17.881439 23.611991
## 579        BE23  221   Rarefaction       0 20.981982 18.002405 23.961559
## 580        BE23  222      Observed       0 21.000000 18.011522 23.988478
## 581        BE23  223 Extrapolation       0 21.017964 18.020573 24.015355
## 582        BE23  234 Extrapolation       0 21.212036 18.115814 24.308257
## 583        BE23  246 Extrapolation       0 21.416544 18.210942 24.622147
## 584        BE23  257 Extrapolation       0 21.597627 18.290449 24.904805
## 585        BE23  269 Extrapolation       0 21.788447 18.369188 25.207706
## 586        BE23  281 Extrapolation       0 21.972493 18.439995 25.504992
## 587        BE23  292 Extrapolation       0 22.135458 18.498278 25.772637
## 588        BE23  304 Extrapolation       0 22.307185 18.554997 26.059374
## 589        BE23  316 Extrapolation       0 22.472817 18.604912 26.340722
## 590        BE23  327 Extrapolation       0 22.619476 18.644995 26.593957
## 591        BE23  339 Extrapolation       0 22.774021 18.682849 26.865193
## 592        BE23  350 Extrapolation       0 22.910864 18.712438 27.109290
## 593        BE23  362 Extrapolation       0 23.055065 18.739434 27.370697
## 594        BE23  374 Extrapolation       0 23.194148 18.761213 27.627082
## 595        BE23  385 Extrapolation       0 23.317299 18.776845 27.857752
## 596        BE23  397 Extrapolation       0 23.447072 18.789432 28.104712
## 597        BE23  409 Extrapolation       0 23.572239 18.797623 28.346855
## 598        BE23  420 Extrapolation       0 23.683068 18.801489 28.564647
## 599        BE23  432 Extrapolation       0 23.799857 18.801963 28.797750
## 600        BE23  444 Extrapolation       0 23.912500 18.798762 29.026238
## 601        BE24    1   Rarefaction       0  1.000000  1.000000  1.000000
## 602        BE24   18   Rarefaction       0  6.864988  6.298911  7.431065
## 603        BE24   35   Rarefaction       0 10.030663  9.175968 10.885359
## 604        BE24   52   Rarefaction       0 12.141490 11.090540 13.192440
## 605        BE24   69   Rarefaction       0 13.673474 12.478725 14.868223
## 606        BE24   87   Rarefaction       0 14.906927 13.600589 16.213266
## 607        BE24  104   Rarefaction       0 15.825390 14.442114 17.208666
## 608        BE24  121   Rarefaction       0 16.572932 15.132107 18.013756
## 609        BE24  138   Rarefaction       0 17.191822 15.706112 18.677531
## 610        BE24  156   Rarefaction       0 17.738221 16.213015 19.263426
## 611        BE24  173   Rarefaction       0 18.172099 16.613176 19.731022
## 612        BE24  190   Rarefaction       0 18.540800 16.948859 20.132740
## 613        BE24  207   Rarefaction       0 18.855179 17.228973 20.481385
## 614        BE24  224   Rarefaction       0 19.123735 17.460599 20.786870
## 615        BE24  242   Rarefaction       0 19.365698 17.659388 21.072007
## 616        BE24  259   Rarefaction       0 19.560013 17.808228 21.311798
## 617        BE24  276   Rarefaction       0 19.725817 17.923302 21.528331
## 618        BE24  293   Rarefaction       0 19.867040 18.007921 21.726160
## 619        BE24  311   Rarefaction       0 19.993590 18.067409 21.919770
## 620        BE24  312      Observed       0 20.000000 18.069862 21.930138
## 621        BE24  313 Extrapolation       0 20.006349 18.072229 21.940469
## 622        BE24  329 Extrapolation       0 20.100065 18.098920 22.101209
## 623        BE24  345 Extrapolation       0 20.180437 18.106317 22.254556
## 624        BE24  362 Extrapolation       0 20.253331 18.095828 22.410835
## 625        BE24  378 Extrapolation       0 20.311880 18.071156 22.552604
## 626        BE24  394 Extrapolation       0 20.362093 18.034316 22.689869
## 627        BE24  411 Extrapolation       0 20.407634 17.983969 22.831298
## 628        BE24  427 Extrapolation       0 20.444212 17.927793 22.960631
## 629        BE24  443 Extrapolation       0 20.475582 17.864570 23.086594
## 630        BE24  460 Extrapolation       0 20.504034 17.791067 23.217001
## 631        BE24  476 Extrapolation       0 20.526886 17.717053 23.336720
## 632        BE24  493 Extrapolation       0 20.547613 17.634315 23.460911
## 633        BE24  509 Extrapolation       0 20.564260 17.553401 23.575119
## 634        BE24  525 Extrapolation       0 20.578537 17.470209 23.686865
## 635        BE24  542 Extrapolation       0 20.591486 17.379947 23.803025
## 636        BE24  558 Extrapolation       0 20.601886 17.293733 23.910040
## 637        BE24  574 Extrapolation       0 20.610806 17.206707 24.014905
## 638        BE24  591 Extrapolation       0 20.618896 17.113733 24.124058
## 639        BE24  607 Extrapolation       0 20.625393 17.026052 24.224734
## 640        BE24  624 Extrapolation       0 20.631286 16.932982 24.329591
## 641        BE25    1   Rarefaction       0  1.000000  1.000000  1.000000
## 642        BE25   14   Rarefaction       0  8.523522  7.968839  9.078204
## 643        BE25   27   Rarefaction       0 12.536058 11.569460 13.502657
## 644        BE25   40   Rarefaction       0 15.249265 13.953514 16.545016
## 645        BE25   53   Rarefaction       0 17.287512 15.721539 18.853485
## 646        BE25   66   Rarefaction       0 18.925222 17.131740 20.718704
## 647        BE25   79   Rarefaction       0 20.299450 18.310625 22.288275
## 648        BE25   92   Rarefaction       0 21.486615 19.327328 23.645903
## 649        BE25  105   Rarefaction       0 22.533260 20.222875 24.843645
## 650        BE25  118   Rarefaction       0 23.469568 21.023091 25.916044
## 651        BE25  131   Rarefaction       0 24.315982 21.744918 26.887045
## 652        BE25  144   Rarefaction       0 25.086767 22.399799 27.773735
## 653        BE25  157   Rarefaction       0 25.792078 22.995600 28.588557
## 654        BE25  170   Rarefaction       0 26.439213 23.537748 29.340677
## 655        BE25  183   Rarefaction       0 27.033413 24.029934 30.036892
## 656        BE25  196   Rarefaction       0 27.578409 24.474568 30.682250
## 657        BE25  209   Rarefaction       0 28.076819 24.873109 31.280530
## 658        BE25  222   Rarefaction       0 28.530470 25.226316 31.834625
## 659        BE25  236   Rarefaction       0 28.970464 25.556301 32.384628
## 660        BE25  237      Observed       0 29.000000 25.577872 32.422128
## 661        BE25  238 Extrapolation       0 29.029288 25.599176 32.459399
## 662        BE25  250 Extrapolation       0 29.362122 25.834485 32.889759
## 663        BE25  262 Extrapolation       0 29.662902 26.033807 33.291996
## 664        BE25  275 Extrapolation       0 29.956147 26.211783 33.700510
## 665        BE25  287 Extrapolation       0 30.199717 26.343506 34.055929
## 666        BE25  300 Extrapolation       0 30.437187 26.453678 34.420695
## 667        BE25  312 Extrapolation       0 30.634429 26.527787 34.741072
## 668        BE25  324 Extrapolation       0 30.812676 26.577686 35.047666
## 669        BE25  337 Extrapolation       0 30.986458 26.606890 35.366025
## 670        BE25  349 Extrapolation       0 31.130801 26.613070 35.648533
## 671        BE25  362 Extrapolation       0 31.271529 26.599517 35.943541
## 672        BE25  374 Extrapolation       0 31.388418 26.570213 36.206623
## 673        BE25  387 Extrapolation       0 31.502379 26.522224 36.482534
## 674        BE25  399 Extrapolation       0 31.597035 26.464545 36.729526
## 675        BE25  411 Extrapolation       0 31.682576 26.395439 36.969713
## 676        BE25  424 Extrapolation       0 31.765973 26.309135 37.222811
## 677        BE25  436 Extrapolation       0 31.835243 26.220135 37.450351
## 678        BE25  449 Extrapolation       0 31.902778 26.114838 37.690719
## 679        BE25  461 Extrapolation       0 31.958873 26.010442 37.907304
## 680        BE25  474 Extrapolation       0 32.013563 25.890551 38.136575
## 681        BE26    1   Rarefaction       0  1.000000  1.000000  1.000000
## 682        BE26   17   Rarefaction       0  8.294868  7.844957  8.744778
## 683        BE26   34   Rarefaction       0 12.173887 11.411458 12.936316
## 684        BE26   51   Rarefaction       0 14.750614 13.762525 15.738704
## 685        BE26   68   Rarefaction       0 16.650578 15.492750 17.808406
## 686        BE26   85   Rarefaction       0 18.136338 16.840919 19.431757
## 687        BE26  102   Rarefaction       0 19.343970 17.930432 20.757507
## 688        BE26  118   Rarefaction       0 20.298432 18.784679 21.812185
## 689        BE26  135   Rarefaction       0 21.167953 19.554125 22.781781
## 690        BE26  152   Rarefaction       0 21.922608 20.211036 23.634180
## 691        BE26  169   Rarefaction       0 22.586843 20.776470 24.397215
## 692        BE26  186   Rarefaction       0 23.178150 21.265502 25.090799
## 693        BE26  203   Rarefaction       0 23.709207 21.689300 25.729114
## 694        BE26  219   Rarefaction       0 24.162274 22.036203 26.288346
## 695        BE26  236   Rarefaction       0 24.600383 22.355812 26.844953
## 696        BE26  253   Rarefaction       0 24.998639 22.629912 27.367366
## 697        BE26  270   Rarefaction       0 25.360463 22.862349 27.858577
## 698        BE26  287   Rarefaction       0 25.688233 23.056003 28.320462
## 699        BE26  304   Rarefaction       0 25.983607 23.213001 28.754212
## 700        BE26  305      Observed       0 26.000000 23.221130 28.778870
## 701        BE26  306 Extrapolation       0 26.016286 23.229138 28.803434
## 702        BE26  322 Extrapolation       0 26.262853 23.341472 29.184233
## 703        BE26  338 Extrapolation       0 26.484861 23.426372 29.543350
## 704        BE26  354 Extrapolation       0 26.684756 23.486963 29.882550
## 705        BE26  370 Extrapolation       0 26.864742 23.526105 30.203379
## 706        BE26  386 Extrapolation       0 27.026800 23.546404 30.507197
## 707        BE26  402 Extrapolation       0 27.172718 23.550223 30.795212
## 708        BE26  418 Extrapolation       0 27.304101 23.539690 31.068513
## 709        BE26  434 Extrapolation       0 27.422399 23.516710 31.328087
## 710        BE26  450 Extrapolation       0 27.528914 23.482987 31.574840
## 711        BE26  466 Extrapolation       0 27.624819 23.440034 31.809605
## 712        BE26  482 Extrapolation       0 27.711173 23.389190 32.033155
## 713        BE26  498 Extrapolation       0 27.788925 23.331643 32.246208
## 714        BE26  514 Extrapolation       0 27.858933 23.268437 32.449429
## 715        BE26  530 Extrapolation       0 27.921968 23.200495 32.643441
## 716        BE26  546 Extrapolation       0 27.978725 23.128627 32.828823
## 717        BE26  562 Extrapolation       0 28.029829 23.053545 33.006113
## 718        BE26  578 Extrapolation       0 28.075842 22.975872 33.175813
## 719        BE26  594 Extrapolation       0 28.117273 22.896154 33.338392
## 720        BE26  610 Extrapolation       0 28.154577 22.814870 33.494284
## 721        BE27    1   Rarefaction       0  1.000000  1.000000  1.000000
## 722        BE27   18   Rarefaction       0 10.875748 10.258888 11.492608
## 723        BE27   35   Rarefaction       0 15.893033 14.724891 17.061175
## 724        BE27   52   Rarefaction       0 19.289489 17.644976 20.934002
## 725        BE27   69   Rarefaction       0 21.893524 19.834164 23.952883
## 726        BE27   87   Rarefaction       0 24.154244 21.715018 26.593470
## 727        BE27  104   Rarefaction       0 25.985420 23.233524 28.737316
## 728        BE27  121   Rarefaction       0 27.606656 24.576778 30.636535
## 729        BE27  138   Rarefaction       0 29.066564 25.784777 32.348350
## 730        BE27  156   Rarefaction       0 30.470593 26.942700 33.998486
## 731        BE27  173   Rarefaction       0 31.684712 27.937961 35.431463
## 732        BE27  190   Rarefaction       0 32.805831 28.848838 36.762825
## 733        BE27  207   Rarefaction       0 33.846082 29.683895 38.008269
## 734        BE27  224   Rarefaction       0 34.815559 30.450409 39.180708
## 735        BE27  242   Rarefaction       0 35.774585 31.194523 40.354647
## 736        BE27  259   Rarefaction       0 36.624652 31.839838 41.409466
## 737        BE27  276   Rarefaction       0 37.427632 32.435034 42.420230
## 738        BE27  293   Rarefaction       0 38.189723 32.985340 43.394106
## 739        BE27  311   Rarefaction       0 38.958333 33.524506 44.392160
## 740        BE27  312      Observed       0 39.000000 33.553254 44.446746
## 741        BE27  313 Extrapolation       0 39.041564 33.581881 44.501247
## 742        BE27  329 Extrapolation       0 39.692809 34.023393 45.362225
## 743        BE27  345 Extrapolation       0 40.318816 34.434122 46.203510
## 744        BE27  362 Extrapolation       0 40.957387 34.837454 47.077320
## 745        BE27  378 Extrapolation       0 41.534385 35.186778 47.881992
## 746        BE27  394 Extrapolation       0 42.089022 35.507727 48.670317
## 747        BE27  411 Extrapolation       0 42.654791 35.818877 49.490705
## 748        BE27  427 Extrapolation       0 43.166006 36.084881 50.247132
## 749        BE27  443 Extrapolation       0 43.657410 36.326135 50.988685
## 750        BE27  460 Extrapolation       0 44.158677 36.556783 51.760571
## 751        BE27  476 Extrapolation       0 44.611610 36.751044 52.472175
## 752        BE27  493 Extrapolation       0 45.073633 36.934651 53.212616
## 753        BE27  509 Extrapolation       0 45.491107 37.087310 53.894905
## 754        BE27  525 Extrapolation       0 45.892402 37.221655 54.563150
## 755        BE27  542 Extrapolation       0 46.301752 37.345619 55.257884
## 756        BE27  558 Extrapolation       0 46.671630 37.445775 55.897486
## 757        BE27  574 Extrapolation       0 47.027174 37.530980 56.523368
## 758        BE27  591 Extrapolation       0 47.389854 37.606235 57.173474
## 759        BE27  607 Extrapolation       0 47.717564 37.663666 57.771462
## 760        BE27  624 Extrapolation       0 48.051851 37.711454 58.392248
## 761        BE28    1   Rarefaction       0  1.000000  1.000000  1.000000
## 762        BE28   15   Rarefaction       0  9.699114  9.138182 10.260045
## 763        BE28   30   Rarefaction       0 14.392769 13.332622 15.452915
## 764        BE28   45   Rarefaction       0 17.418904 16.014578 18.823231
## 765        BE28   59   Rarefaction       0 19.488162 17.834332 21.141991
## 766        BE28   74   Rarefaction       0 21.213806 19.340880 23.086731
## 767        BE28   89   Rarefaction       0 22.600171 20.544259 24.656082
## 768        BE28  104   Rarefaction       0 23.748697 21.537660 25.959734
## 769        BE28  118   Rarefaction       0 24.662033 22.326296 26.997771
## 770        BE28  133   Rarefaction       0 25.509951 23.057906 27.961996
## 771        BE28  148   Rarefaction       0 26.250541 23.696453 28.804630
## 772        BE28  162   Rarefaction       0 26.863022 24.223704 29.502339
## 773        BE28  177   Rarefaction       0 27.449458 24.726786 30.172129
## 774        BE28  192   Rarefaction       0 27.975553 25.175087 30.776019
## 775        BE28  207   Rarefaction       0 28.451234 25.575887 31.326580
## 776        BE28  221   Rarefaction       0 28.857092 25.912185 31.802000
## 777        BE28  236   Rarefaction       0 29.257896 26.236356 32.279436
## 778        BE28  251   Rarefaction       0 29.629571 26.526712 32.732430
## 779        BE28  266   Rarefaction       0 29.977528 26.786158 33.168898
## 780        BE28  267      Observed       0 30.000000 26.802415 33.197585
## 781        BE28  268 Extrapolation       0 30.022388 26.818544 33.226232
## 782        BE28  282 Extrapolation       0 30.327153 27.031138 33.623168
## 783        BE28  296 Extrapolation       0 30.616322 27.219625 34.013019
## 784        BE28  310 Extrapolation       0 30.890692 27.384921 34.396462
## 785        BE28  324 Extrapolation       0 31.151020 27.528104 34.773937
## 786        BE28  338 Extrapolation       0 31.398026 27.650372 35.145680
## 787        BE28  352 Extrapolation       0 31.632391 27.753007 35.511774
## 788        BE28  366 Extrapolation       0 31.854761 27.837332 35.872190
## 789        BE28  380 Extrapolation       0 32.065752 27.904673 36.226830
## 790        BE28  394 Extrapolation       0 32.265944 27.956332 36.575557
## 791        BE28  408 Extrapolation       0 32.455891 27.993562 36.918221
## 792        BE28  422 Extrapolation       0 32.636118 28.017559 37.254677
## 793        BE28  436 Extrapolation       0 32.807121 28.029449 37.584793
## 794        BE28  450 Extrapolation       0 32.969372 28.030284 37.908461
## 795        BE28  464 Extrapolation       0 33.123321 28.021041 38.225600
## 796        BE28  478 Extrapolation       0 33.269390 28.002624 38.536156
## 797        BE28  492 Extrapolation       0 33.407984 27.975866 38.840102
## 798        BE28  506 Extrapolation       0 33.539485 27.941533 39.137437
## 799        BE28  520 Extrapolation       0 33.664257 27.900328 39.428186
## 800        BE28  534 Extrapolation       0 33.782643 27.852893 39.712392
## 801        BE29    1   Rarefaction       0  1.000000  1.000000  1.000000
## 802        BE29   14   Rarefaction       0  8.453726  7.952271  8.955182
## 803        BE29   27   Rarefaction       0 12.155709 11.420933 12.890485
## 804        BE29   41   Rarefaction       0 14.623942 13.744161 15.503723
## 805        BE29   54   Rarefaction       0 16.162181 15.168544 17.155818
## 806        BE29   67   Rarefaction       0 17.277251 16.178629 18.375873
## 807        BE29   81   Rarefaction       0 18.184816 16.981741 19.387890
## 808        BE29   94   Rarefaction       0 18.848821 17.556977 20.140665
## 809        BE29  108   Rarefaction       0 19.431024 18.052542 20.809506
## 810        BE29  121   Rarefaction       0 19.880895 18.429886 21.331904
## 811        BE29  134   Rarefaction       0 20.263635 18.746894 21.780376
## 812        BE29  148   Rarefaction       0 20.616017 19.034772 22.197261
## 813        BE29  161   Rarefaction       0 20.897785 19.261051 22.534519
## 814        BE29  175   Rarefaction       0 21.160429 19.466994 22.853865
## 815        BE29  188   Rarefaction       0 21.371946 19.627148 23.116744
## 816        BE29  201   Rarefaction       0 21.556356 19.759981 23.352731
## 817        BE29  215   Rarefaction       0 21.728161 19.874442 23.581880
## 818        BE29  228   Rarefaction       0 21.865443 19.955430 23.775457
## 819        BE29  242   Rarefaction       0 21.991770 20.016405 23.967135
## 820        BE29  243      Observed       0 22.000000 20.019741 23.980259
## 821        BE29  244 Extrapolation       0 22.008130 20.022957 23.993302
## 822        BE29  256 Extrapolation       0 22.098259 20.052415 24.144104
## 823        BE29  269 Extrapolation       0 22.181976 20.066693 24.297259
## 824        BE29  282 Extrapolation       0 22.253303 20.064902 24.441705
## 825        BE29  294 Extrapolation       0 22.309737 20.051001 24.568473
## 826        BE29  307 Extrapolation       0 22.362156 20.024716 24.699596
## 827        BE29  320 Extrapolation       0 22.406817 19.988659 24.824975
## 828        BE29  333 Extrapolation       0 22.444868 19.944539 24.945197
## 829        BE29  345 Extrapolation       0 22.474974 19.897931 25.052017
## 830        BE29  358 Extrapolation       0 22.502938 19.842246 25.163631
## 831        BE29  371 Extrapolation       0 22.526764 19.782201 25.271327
## 832        BE29  384 Extrapolation       0 22.547063 19.718701 25.375425
## 833        BE29  396 Extrapolation       0 22.563124 19.657680 25.468567
## 834        BE29  409 Extrapolation       0 22.578042 19.589572 25.566512
## 835        BE29  422 Extrapolation       0 22.590752 19.519910 25.661594
## 836        BE29  435 Extrapolation       0 22.601581 19.449152 25.754011
## 837        BE29  447 Extrapolation       0 22.610149 19.383196 25.837103
## 838        BE29  460 Extrapolation       0 22.618108 19.311351 25.924865
## 839        BE29  473 Extrapolation       0 22.624888 19.239363 26.010414
## 840        BE29  486 Extrapolation       0 22.630665 19.167457 26.093874
## 841         BE3    1   Rarefaction       0  1.000000  1.000000  1.000000
## 842         BE3   17   Rarefaction       0 12.399461 12.041299 12.757622
## 843         BE3   33   Rarefaction       0 18.989242 18.243729 19.734754
## 844         BE3   49   Rarefaction       0 23.367750 22.331039 24.404461
## 845         BE3   65   Rarefaction       0 26.515115 25.232118 27.798112
## 846         BE3   82   Rarefaction       0 29.013965 27.495967 30.531962
## 847         BE3   98   Rarefaction       0 30.833874 29.115568 32.552180
## 848         BE3  114   Rarefaction       0 32.297183 30.395991 34.198376
## 849         BE3  130   Rarefaction       0 33.506064 31.435522 35.576606
## 850         BE3  147   Rarefaction       0 34.588193 32.347956 36.828431
## 851         BE3  163   Rarefaction       0 35.464880 33.070770 37.858990
## 852         BE3  179   Rarefaction       0 36.236232 33.690958 38.781505
## 853         BE3  195   Rarefaction       0 36.924028 34.228057 39.619999
## 854         BE3  211   Rarefaction       0 37.543707 34.695764 40.391650
## 855         BE3  228   Rarefaction       0 38.139947 35.127612 41.152281
## 856         BE3  244   Rarefaction       0 38.651286 35.480327 41.822245
## 857         BE3  260   Rarefaction       0 39.120701 35.786384 42.455018
## 858         BE3  276   Rarefaction       0 39.553061 36.049810 43.056313
## 859         BE3  293   Rarefaction       0 39.976190 36.286393 43.665988
## 860         BE3  294      Observed       0 40.000000 36.298981 43.701019
## 861         BE3  295 Extrapolation       0 40.023694 36.311424 43.735964
## 862         BE3  310 Extrapolation       0 40.365616 36.481328 44.249903
## 863         BE3  325 Extrapolation       0 40.683480 36.621626 44.745335
## 864         BE3  341 Extrapolation       0 40.997924 36.741492 45.254356
## 865         BE3  356 Extrapolation       0 41.271299 36.828471 45.714128
## 866         BE3  372 Extrapolation       0 41.541733 36.896741 46.186724
## 867         BE3  387 Extrapolation       0 41.776846 36.939968 46.613725
## 868         BE3  402 Extrapolation       0 41.995417 36.965052 47.025782
## 869         BE3  418 Extrapolation       0 42.211636 36.973802 47.449470
## 870         BE3  433 Extrapolation       0 42.399615 36.966831 47.832399
## 871         BE3  449 Extrapolation       0 42.585572 36.944910 48.226234
## 872         BE3  464 Extrapolation       0 42.747241 36.912196 48.582286
## 873         BE3  480 Extrapolation       0 42.907170 36.865734 48.948607
## 874         BE3  495 Extrapolation       0 43.046212 36.812502 49.279923
## 875         BE3  510 Extrapolation       0 43.175471 36.750939 49.600004
## 876         BE3  526 Extrapolation       0 43.303339 36.677117 49.929561
## 877         BE3  541 Extrapolation       0 43.414507 36.601141 50.227873
## 878         BE3  557 Extrapolation       0 43.524478 36.513744 50.535212
## 879         BE3  572 Extrapolation       0 43.620086 36.426570 50.813603
## 880         BE3  588 Extrapolation       0 43.714666 36.328704 51.100627
## 881        BE30    1   Rarefaction       0  1.000000  1.000000  1.000000
## 882        BE30   15   Rarefaction       0  8.070304  7.506324  8.634284
## 883        BE30   30   Rarefaction       0 11.723175 10.718978 12.727372
## 884        BE30   45   Rarefaction       0 14.106032 12.713064 15.499001
## 885        BE30   59   Rarefaction       0 15.756410 14.036993 17.475827
## 886        BE30   74   Rarefaction       0 17.183199 15.145044 19.221354
## 887        BE30   89   Rarefaction       0 18.399835 16.068808 20.730863
## 888        BE30  103   Rarefaction       0 19.415610 16.830926 22.000294
## 889        BE30  118   Rarefaction       0 20.417180 17.578934 23.255425
## 890        BE30  133   Rarefaction       0 21.353511 18.277942 24.429080
## 891        BE30  147   Rarefaction       0 22.181532 18.896918 25.466146
## 892        BE30  162   Rarefaction       0 23.027747 19.530313 26.525181
## 893        BE30  177   Rarefaction       0 23.836757 20.135971 27.537542
## 894        BE30  191   Rarefaction       0 24.561220 20.677497 28.444944
## 895        BE30  206   Rarefaction       0 25.306752 21.232755 29.380750
## 896        BE30  221   Rarefaction       0 26.022146 21.762301 30.281991
## 897        BE30  235   Rarefaction       0 26.663821 22.233274 31.094367
## 898        BE30  250   Rarefaction       0 27.324546 22.712833 31.936259
## 899        BE30  265   Rarefaction       0 27.958647 23.166354 32.750939
## 900        BE30  266      Observed       0 28.000000 23.195660 32.804340
## 901        BE30  267 Extrapolation       0 28.041240 23.224851 32.857630
## 902        BE30  280 Extrapolation       0 28.567203 23.593819 33.540587
## 903        BE30  294 Extrapolation       0 29.113055 23.969650 34.256461
## 904        BE30  308 Extrapolation       0 29.638360 24.323662 34.953058
## 905        BE30  322 Extrapolation       0 30.143891 24.656427 35.631356
## 906        BE30  336 Extrapolation       0 30.630393 24.968562 36.292225
## 907        BE30  350 Extrapolation       0 31.098582 25.260721 36.936442
## 908        BE30  364 Extrapolation       0 31.549146 25.533586 37.564707
## 909        BE30  378 Extrapolation       0 31.982751 25.787853 38.177648
## 910        BE30  392 Extrapolation       0 32.400033 26.024228 38.775837
## 911        BE30  406 Extrapolation       0 32.801608 26.243417 39.359798
## 912        BE30  420 Extrapolation       0 33.188066 26.446119 39.930013
## 913        BE30  434 Extrapolation       0 33.559977 26.633026 40.486929
## 914        BE30  448 Extrapolation       0 33.917889 26.804815 41.030963
## 915        BE30  462 Extrapolation       0 34.262327 26.962148 41.562507
## 916        BE30  476 Extrapolation       0 34.593801 27.105669 42.081932
## 917        BE30  490 Extrapolation       0 34.912796 27.236004 42.589589
## 918        BE30  504 Extrapolation       0 35.219784 27.353756 43.085813
## 919        BE30  518 Extrapolation       0 35.515216 27.459509 43.570923
## 920        BE30  532 Extrapolation       0 35.799528 27.553827 44.045228
## 921         BE4    1   Rarefaction       0  1.000000  1.000000  1.000000
## 922         BE4   23   Rarefaction       0 13.387594 12.743390 14.031797
## 923         BE4   46   Rarefaction       0 18.785704 17.623388 19.948019
## 924         BE4   69   Rarefaction       0 21.872317 20.416076 23.328559
## 925         BE4   92   Rarefaction       0 23.916708 22.287953 25.545462
## 926         BE4  115   Rarefaction       0 25.384883 23.637180 27.132585
## 927         BE4  138   Rarefaction       0 26.498154 24.646282 28.350025
## 928         BE4  161   Rarefaction       0 27.377436 25.417884 29.336987
## 929         BE4  184   Rarefaction       0 28.095194 26.018133 30.172256
## 930         BE4  207   Rarefaction       0 28.697752 26.492926 30.902578
## 931         BE4  230   Rarefaction       0 29.216086 26.875108 31.557063
## 932         BE4  253   Rarefaction       0 29.671586 27.188404 32.154769
## 933         BE4  276   Rarefaction       0 30.079407 27.449986 32.708828
## 934         BE4  299   Rarefaction       0 30.450540 27.672315 33.228765
## 935         BE4  322   Rarefaction       0 30.793173 27.864489 33.721857
## 936         BE4  345   Rarefaction       0 31.113604 28.033236 34.193973
## 937         BE4  368   Rarefaction       0 31.416859 28.183618 34.650099
## 938         BE4  391   Rarefaction       0 31.707107 28.319532 35.094683
## 939         BE4  414   Rarefaction       0 31.987952 28.444054 35.531849
## 940         BE4  415      Observed       0 32.000000 28.449250 35.550750
## 941         BE4  416 Extrapolation       0 32.012037 28.454433 35.569640
## 942         BE4  437 Extrapolation       0 32.262138 28.560378 35.963897
## 943         BE4  459 Extrapolation       0 32.518765 28.665535 36.371995
## 944         BE4  481 Extrapolation       0 32.769997 28.764852 36.775143
## 945         BE4  503 Extrapolation       0 33.015949 28.858431 37.173466
## 946         BE4  524 Extrapolation       0 33.245895 28.942496 37.549294
## 947         BE4  546 Extrapolation       0 33.481842 29.025158 37.938526
## 948         BE4  568 Extrapolation       0 33.712829 29.102412 38.323247
## 949         BE4  590 Extrapolation       0 33.938960 29.174398 38.703523
## 950         BE4  612 Extrapolation       0 34.160338 29.241276 39.079400
## 951         BE4  633 Extrapolation       0 34.367310 29.300508 39.434113
## 952         BE4  655 Extrapolation       0 34.579683 29.357910 39.801456
## 953         BE4  677 Extrapolation       0 34.787592 29.410744 40.164440
## 954         BE4  699 Extrapolation       0 34.991130 29.459205 40.523054
## 955         BE4  721 Extrapolation       0 35.190389 29.503494 40.877284
## 956         BE4  742 Extrapolation       0 35.376682 29.542060 41.211304
## 957         BE4  764 Extrapolation       0 35.567836 29.578768 41.556905
## 958         BE4  786 Extrapolation       0 35.754972 29.611886 41.898058
## 959         BE4  808 Extrapolation       0 35.938174 29.641605 42.234743
## 960         BE4  830 Extrapolation       0 36.117525 29.668110 42.566939
## 961         BE5    1   Rarefaction       0  1.000000  1.000000  1.000000
## 962         BE5   11   Rarefaction       0  4.931670  4.393756  5.469585
## 963         BE5   22   Rarefaction       0  7.721929  6.913979  8.529880
## 964         BE5   33   Rarefaction       0  9.731952  8.732007 10.731897
## 965         BE5   44   Rarefaction       0 11.206000 10.042399 12.369602
## 966         BE5   55   Rarefaction       0 12.308909 10.998815 13.619004
## 967         BE5   66   Rarefaction       0 13.152248 11.708747 14.595750
## 968         BE5   77   Rarefaction       0 13.812089 12.245203 15.378976
## 969         BE5   88   Rarefaction       0 14.340881 12.658059 16.023703
## 970         BE5   99   Rarefaction       0 14.775257 12.981923 16.568591
## 971         BE5  110   Rarefaction       0 15.141114 13.241138 17.041090
## 972         BE5  121   Rarefaction       0 15.456892 13.452921 17.460864
## 973         BE5  132   Rarefaction       0 15.735721 13.629379 17.842063
## 974         BE5  143   Rarefaction       0 15.986848 13.778854 18.194842
## 975         BE5  154   Rarefaction       0 16.216635 13.906870 18.526400
## 976         BE5  165   Rarefaction       0 16.429282 14.016837 18.841728
## 977         BE5  176   Rarefaction       0 16.627387 14.110603 19.144170
## 978         BE5  187   Rarefaction       0 16.812386 14.188898 19.435875
## 979         BE5  198   Rarefaction       0 16.984925 14.251696 19.718154
## 980         BE5  199      Observed       0 17.000000 14.256622 19.743378
## 981         BE5  200 Extrapolation       0 17.014975 14.261423 19.768526
## 982         BE5  210 Extrapolation       0 17.159320 14.302690 20.015950
## 983         BE5  220 Extrapolation       0 17.294296 14.332252 20.256339
## 984         BE5  231 Extrapolation       0 17.432672 14.352337 20.513007
## 985         BE5  241 Extrapolation       0 17.549904 14.360338 20.739469
## 986         BE5  252 Extrapolation       0 17.670089 14.359020 20.981157
## 987         BE5  262 Extrapolation       0 17.771910 14.349586 21.194234
## 988         BE5  272 Extrapolation       0 17.867121 14.333151 21.401091
## 989         BE5  283 Extrapolation       0 17.964731 14.307876 21.621587
## 990         BE5  293 Extrapolation       0 18.047426 14.279085 21.815768
## 991         BE5  304 Extrapolation       0 18.132205 14.241765 22.022644
## 992         BE5  314 Extrapolation       0 18.204029 14.203292 22.204765
## 993         BE5  325 Extrapolation       0 18.277662 14.156573 22.398751
## 994         BE5  335 Extrapolation       0 18.340044 14.110579 22.569510
## 995         BE5  345 Extrapolation       0 18.398377 14.061638 22.735117
## 996         BE5  356 Extrapolation       0 18.458180 14.004823 22.911536
## 997         BE5  366 Extrapolation       0 18.508844 13.950814 23.066875
## 998         BE5  377 Extrapolation       0 18.560785 13.889163 23.232406
## 999         BE5  387 Extrapolation       0 18.604789 13.831365 23.378214
## 1000        BE5  398 Extrapolation       0 18.649902 13.766148 23.533656
## 1001        BE6    1   Rarefaction       0  1.000000  1.000000  1.000000
## 1002        BE6   12   Rarefaction       0  6.975703  6.406045  7.545361
## 1003        BE6   23   Rarefaction       0 10.431183  9.473039 11.389327
## 1004        BE6   35   Rarefaction       0 13.070098 11.741072 14.399125
## 1005        BE6   46   Rarefaction       0 14.898257 13.255992 16.540523
## 1006        BE6   58   Rarefaction       0 16.496117 14.531571 18.460662
## 1007        BE6   69   Rarefaction       0 17.717360 15.471794 19.962926
## 1008        BE6   81   Rarefaction       0 18.863366 16.325667 21.401064
## 1009        BE6   92   Rarefaction       0 19.787112 16.994268 22.579956
## 1010        BE6  104   Rarefaction       0 20.688741 17.630564 23.746917
## 1011        BE6  115   Rarefaction       0 21.437318 18.146895 24.727741
## 1012        BE6  126   Rarefaction       0 22.124425 18.611155 25.637694
## 1013        BE6  138   Rarefaction       0 22.814778 19.067746 26.561811
## 1014        BE6  149   Rarefaction       0 23.401033 19.446977 27.355090
## 1015        BE6  161   Rarefaction       0 23.996785 19.823354 28.170215
## 1016        BE6  172   Rarefaction       0 24.508027 20.138192 28.877861
## 1017        BE6  184   Rarefaction       0 25.032957 20.452659 29.613255
## 1018        BE6  195   Rarefaction       0 25.488356 20.717511 30.259201
## 1019        BE6  207   Rarefaction       0 25.961538 20.984271 30.938806
## 1020        BE6  208      Observed       0 26.000000 21.005564 30.994436
## 1021        BE6  209 Extrapolation       0 26.038323 21.026720 31.049925
## 1022        BE6  219 Extrapolation       0 26.414022 21.230795 31.597250
## 1023        BE6  230 Extrapolation       0 26.811897 21.439704 32.184089
## 1024        BE6  241 Extrapolation       0 27.194253 21.632687 32.755819
## 1025        BE6  252 Extrapolation       0 27.561697 21.810300 33.313094
## 1026        BE6  263 Extrapolation       0 27.914810 21.973204 33.856416
## 1027        BE6  274 Extrapolation       0 28.254150 22.122118 34.386182
## 1028        BE6  285 Extrapolation       0 28.580256 22.257793 34.902719
## 1029        BE6  296 Extrapolation       0 28.893643 22.380981 35.406305
## 1030        BE6  307 Extrapolation       0 29.194807 22.492422 35.897192
## 1031        BE6  317 Extrapolation       0 29.458387 22.584142 36.332632
## 1032        BE6  328 Extrapolation       0 29.737525 22.675122 36.799928
## 1033        BE6  339 Extrapolation       0 30.005776 22.756351 37.255201
## 1034        BE6  350 Extrapolation       0 30.263565 22.828448 37.698681
## 1035        BE6  361 Extrapolation       0 30.511299 22.891995 38.130603
## 1036        BE6  372 Extrapolation       0 30.749371 22.947537 38.551205
## 1037        BE6  383 Extrapolation       0 30.978158 22.995587 38.960728
## 1038        BE6  394 Extrapolation       0 31.198021 23.036623 39.359420
## 1039        BE6  405 Extrapolation       0 31.409310 23.071092 39.747528
## 1040        BE6  416 Extrapolation       0 31.612358 23.099412 40.125303
## 1041        BE7    1   Rarefaction       0  1.000000  1.000000  1.000000
## 1042        BE7   30   Rarefaction       0  9.448944  8.800674 10.097214
## 1043        BE7   60   Rarefaction       0 13.036941 12.002941 14.070940
## 1044        BE7   90   Rarefaction       0 15.324703 13.960649 16.688758
## 1045        BE7  120   Rarefaction       0 17.052653 15.383290 18.722017
## 1046        BE7  150   Rarefaction       0 18.462129 16.508924 20.415335
## 1047        BE7  180   Rarefaction       0 19.662846 17.448795 21.876897
## 1048        BE7  210   Rarefaction       0 20.716161 18.264336 23.167987
## 1049        BE7  240   Rarefaction       0 21.660099 18.991986 24.328212
## 1050        BE7  270   Rarefaction       0 22.519277 19.653921 25.384633
## 1051        BE7  299   Rarefaction       0 23.284602 20.244127 26.325077
## 1052        BE7  329   Rarefaction       0 24.019588 20.811423 27.227753
## 1053        BE7  359   Rarefaction       0 24.704430 21.339769 28.069090
## 1054        BE7  389   Rarefaction       0 25.344558 21.832265 28.856851
## 1055        BE7  419   Rarefaction       0 25.943950 22.290750 29.597151
## 1056        BE7  449   Rarefaction       0 26.505614 22.716251 30.294976
## 1057        BE7  479   Rarefaction       0 27.031879 23.109231 30.954526
## 1058        BE7  509   Rarefaction       0 27.524583 23.469721 31.579445
## 1059        BE7  539   Rarefaction       0 27.985185 23.797387 32.172983
## 1060        BE7  540      Observed       0 28.000000 23.807737 32.192263
## 1061        BE7  541 Extrapolation       0 28.014781 23.818050 32.211511
## 1062        BE7  569 Extrapolation       0 28.415036 24.092008 32.738064
## 1063        BE7  597 Extrapolation       0 28.790155 24.338323 33.241986
## 1064        BE7  626 Extrapolation       0 29.153854 24.565798 33.741911
## 1065        BE7  654 Extrapolation       0 29.482575 24.760208 34.204941
## 1066        BE7  682 Extrapolation       0 29.790651 24.931293 34.650008
## 1067        BE7  711 Extrapolation       0 30.089348 25.085426 35.093271
## 1068        BE7  739 Extrapolation       0 30.359318 25.213435 35.505202
## 1069        BE7  767 Extrapolation       0 30.612334 25.322400 35.902267
## 1070        BE7  796 Extrapolation       0 30.857647 25.416611 36.298684
## 1071        BE7  824 Extrapolation       0 31.079367 25.490894 36.667841
## 1072        BE7  853 Extrapolation       0 31.294337 25.551878 37.036797
## 1073        BE7  881 Extrapolation       0 31.488633 25.596552 37.380713
## 1074        BE7  909 Extrapolation       0 31.670726 25.628376 37.713075
## 1075        BE7  938 Extrapolation       0 31.847276 25.648884 38.045668
## 1076        BE7  966 Extrapolation       0 32.006846 25.657649 38.356043
## 1077        BE7  994 Extrapolation       0 32.156394 25.656477 38.656312
## 1078        BE7 1023 Extrapolation       0 32.301391 25.645675 38.957106
## 1079        BE7 1051 Extrapolation       0 32.432442 25.626784 39.238099
## 1080        BE7 1080 Extrapolation       0 32.559503 25.599227 39.519779
## 1081        BE8    1   Rarefaction       0  1.000000  1.000000  1.000000
## 1082        BE8   13   Rarefaction       0  7.833924  7.351445  8.316404
## 1083        BE8   25   Rarefaction       0 11.798526 11.082805 12.514247
## 1084        BE8   37   Rarefaction       0 14.514179 13.631039 15.397319
## 1085        BE8   49   Rarefaction       0 16.470219 15.457202 17.483236
## 1086        BE8   61   Rarefaction       0 17.932717 16.812559 19.052875
## 1087        BE8   73   Rarefaction       0 19.059251 17.844845 20.273656
## 1088        BE8   85   Rarefaction       0 19.948935 18.647256 21.250614
## 1089        BE8   97   Rarefaction       0 20.667021 19.281654 22.052388
## 1090        BE8  109   Rarefaction       0 21.257979 19.790640 22.725318
## 1091        BE8  121   Rarefaction       0 21.752904 20.204344 23.301463
## 1092        BE8  133   Rarefaction       0 22.173931 20.544487 23.803375
## 1093        BE8  145   Rarefaction       0 22.537003 20.826913 24.247093
## 1094        BE8  157   Rarefaction       0 22.853691 21.063260 24.644122
## 1095        BE8  169   Rarefaction       0 23.132453 21.262098 25.002809
## 1096        BE8  181   Rarefaction       0 23.379539 21.429752 25.329327
## 1097        BE8  193   Rarefaction       0 23.599636 21.570894 25.628377
## 1098        BE8  205   Rarefaction       0 23.796339 21.688987 25.903691
## 1099        BE8  218   Rarefaction       0 23.986301 21.793870 26.178733
## 1100        BE8  219      Observed       0 24.000000 21.801015 26.198985
## 1101        BE8  220 Extrapolation       0 24.013574 21.808030 26.219119
## 1102        BE8  231 Extrapolation       0 24.154987 21.876755 26.433219
## 1103        BE8  242 Extrapolation       0 24.282883 21.930701 26.635065
## 1104        BE8  254 Extrapolation       0 24.408507 21.974032 26.842982
## 1105        BE8  265 Extrapolation       0 24.512173 22.000845 27.023501
## 1106        BE8  277 Extrapolation       0 24.613997 22.017508 27.210486
## 1107        BE8  288 Extrapolation       0 24.698023 22.022516 27.373531
## 1108        BE8  300 Extrapolation       0 24.780556 22.018119 27.542993
## 1109        BE8  311 Extrapolation       0 24.848663 22.006147 27.691179
## 1110        BE8  323 Extrapolation       0 24.915560 21.985545 27.845575
## 1111        BE8  334 Extrapolation       0 24.970764 21.960648 27.980880
## 1112        BE8  346 Extrapolation       0 25.024987 21.927840 28.122134
## 1113        BE8  357 Extrapolation       0 25.069732 21.893312 28.246152
## 1114        BE8  369 Extrapolation       0 25.113682 21.851515 28.375850
## 1115        BE8  380 Extrapolation       0 25.149951 21.809988 28.489913
## 1116        BE8  392 Extrapolation       0 25.185574 21.761756 28.609392
## 1117        BE8  403 Extrapolation       0 25.214971 21.715309 28.714633
## 1118        BE8  415 Extrapolation       0 25.243846 21.662652 28.825039
## 1119        BE8  426 Extrapolation       0 25.267673 21.612915 28.922432
## 1120        BE8  438 Extrapolation       0 25.291078 21.557404 29.024751
## 1121        BE9    1   Rarefaction       0  1.000000  1.000000  1.000000
## 1122        BE9   18   Rarefaction       0 11.347815 10.896781 11.798850
## 1123        BE9   35   Rarefaction       0 16.420869 15.607417 17.234322
## 1124        BE9   52   Rarefaction       0 19.580958 18.426657 20.735259
## 1125        BE9   69   Rarefaction       0 21.812284 20.316889 23.307679
## 1126        BE9   86   Rarefaction       0 23.518079 21.685456 25.350702
## 1127        BE9  103   Rarefaction       0 24.890987 22.726045 27.055928
## 1128        BE9  120   Rarefaction       0 26.034800 23.542581 28.527019
## 1129        BE9  137   Rarefaction       0 27.011773 24.198015 29.825532
## 1130        BE9  155   Rarefaction       0 27.909687 24.762825 31.056549
## 1131        BE9  172   Rarefaction       0 28.658911 25.205226 32.112597
## 1132        BE9  189   Rarefaction       0 29.333755 25.581191 33.086319
## 1133        BE9  206   Rarefaction       0 29.950244 25.906745 33.993743
## 1134        BE9  223   Rarefaction       0 30.520680 26.193910 34.847450
## 1135        BE9  240   Rarefaction       0 31.054533 26.451713 35.657354
## 1136        BE9  257   Rarefaction       0 31.559108 26.686924 36.431292
## 1137        BE9  274   Rarefaction       0 32.040079 26.904642 37.175517
## 1138        BE9  291   Rarefaction       0 32.501933 27.108745 37.895122
## 1139        BE9  309   Rarefaction       0 32.974194 27.313374 38.635013
## 1140        BE9  310      Observed       0 33.000000 27.324455 38.675545
## 1141        BE9  311 Extrapolation       0 33.025765 27.335506 38.716024
## 1142        BE9  327 Extrapolation       0 33.432386 27.508130 39.356642
## 1143        BE9  343 Extrapolation       0 33.828623 27.672835 39.984411
## 1144        BE9  359 Extrapolation       0 34.214741 27.829597 40.599884
## 1145        BE9  376 Extrapolation       0 34.614193 27.987476 41.240910
## 1146        BE9  392 Extrapolation       0 34.980249 28.127959 41.832540
## 1147        BE9  408 Extrapolation       0 35.336958 28.260679 42.413238
## 1148        BE9  424 Extrapolation       0 35.684557 28.385765 42.983350
## 1149        BE9  441 Extrapolation       0 36.044160 28.510481 43.577840
## 1150        BE9  457 Extrapolation       0 36.373700 28.620345 44.127054
## 1151        BE9  473 Extrapolation       0 36.694823 28.723120 44.666526
## 1152        BE9  489 Extrapolation       0 37.007746 28.819018 45.196475
## 1153        BE9  506 Extrapolation       0 37.331476 28.913618 45.749334
## 1154        BE9  522 Extrapolation       0 37.628140 28.996027 46.260253
## 1155        BE9  538 Extrapolation       0 37.917229 29.072244 46.762214
## 1156        BE9  554 Extrapolation       0 38.198935 29.142496 47.255374
## 1157        BE9  571 Extrapolation       0 38.490369 29.210859 47.769880
## 1158        BE9  587 Extrapolation       0 38.757439 29.269525 48.245353
## 1159        BE9  603 Extrapolation       0 39.017688 29.322913 48.712463
## 1160        BE9  620 Extrapolation       0 39.286925 29.374098 49.199753
##              SC     SC.LCL     SC.UCL
## 1    0.39408233 0.33033590 0.45782877
## 2    0.81624211 0.79273406 0.83975017
## 3    0.89466850 0.87650764 0.91282936
## 4    0.92783458 0.91208677 0.94358239
## 5    0.94612194 0.93233634 0.95990755
## 6    0.95625438 0.94392669 0.96858207
## 7    0.96206318 0.95059062 0.97353574
## 8    0.96623309 0.95523544 0.97723074
## 9    0.96906748 0.95825564 0.97987931
## 10   0.97146996 0.96072188 0.98221804
## 11   0.97349012 0.96275260 0.98422764
## 12   0.97516349 0.96442548 0.98590150
## 13   0.97680512 0.96606973 0.98754052
## 14   0.97823491 0.96750584 0.98896399
## 15   0.97968357 0.96896010 0.99040704
## 16   0.98106612 0.97033832 0.99179393
## 17   0.98231255 0.97156218 0.99306291
## 18   0.98361695 0.97281092 0.99442297
## 19   0.98490566 0.97399774 0.99581358
## 20   0.98499094 0.97408007 0.99590181
## 21   0.98507574 0.97416224 0.99598924
## 22   0.98613547 0.97521439 0.99705655
## 23   0.98719272 0.97631109 0.99807436
## 24   0.98816936 0.97736402 0.99897469
## 25   0.98907151 0.97836845 0.99977458
## 26   0.98990488 0.97932199 1.00000000
## 27   0.99067469 0.98022425 1.00000000
## 28   0.99138580 0.98107624 1.00000000
## 29   0.99204269 0.98187985 1.00000000
## 30   0.99264948 0.98263743 1.00000000
## 31   0.99317142 0.98330195 1.00000000
## 32   0.99369214 0.98397812 1.00000000
## 33   0.99417315 0.98461591 1.00000000
## 34   0.99461749 0.98521781 1.00000000
## 35   0.99502793 0.98578618 1.00000000
## 36   0.99540708 0.98632325 1.00000000
## 37   0.99575732 0.98683109 1.00000000
## 38   0.99608085 0.98731163 1.00000000
## 39   0.99637971 0.98776666 1.00000000
## 40   0.99665578 0.98819785 1.00000000
## 41   0.11437151 0.09044526 0.13829775
## 42   0.71404958 0.68782965 0.74026951
## 43   0.83540700 0.81628103 0.85453296
## 44   0.89049748 0.87523783 0.90575713
## 45   0.91979580 0.90612669 0.93346492
## 46   0.93844882 0.92557731 0.95132034
## 47   0.95154502 0.93927418 0.96381587
## 48   0.96032455 0.94859894 0.97205016
## 49   0.96693307 0.95578028 0.97808585
## 50   0.97160537 0.96098839 0.98222234
## 51   0.97513590 0.96501808 0.98525372
## 52   0.97793683 0.96828208 0.98759158
## 53   0.97999182 0.97071540 0.98926823
## 54   0.98164233 0.97268725 0.99059742
## 55   0.98286542 0.97414504 0.99158579
## 56   0.98382524 0.97526503 0.99238545
## 57   0.98462189 0.97614532 0.99309845
## 58   0.98524932 0.97676820 0.99373045
## 59   0.98581560 0.97723606 0.99439515
## 60   0.98583798 0.97725355 0.99442240
## 61   0.98586031 0.97727100 0.99444963
## 62   0.98634292 0.97764633 0.99503952
## 63   0.98680906 0.97801112 0.99560700
## 64   0.98725929 0.97837086 0.99614772
## 65   0.98769415 0.97872841 0.99665989
## 66   0.98813292 0.97910134 0.99716449
## 67   0.98853796 0.97945776 0.99761816
## 68   0.98892918 0.97981390 0.99804446
## 69   0.98930704 0.98016953 0.99844456
## 70   0.98967201 0.98052428 0.99881975
## 71   0.99004026 0.98089373 0.99918678
## 72   0.99038020 0.98124530 0.99951510
## 73   0.99070854 0.98159462 0.99982246
## 74   0.99102567 0.98194125 1.00000000
## 75   0.99133198 0.98228478 1.00000000
## 76   0.99164104 0.98264021 1.00000000
## 77   0.99192634 0.98297627 1.00000000
## 78   0.99220191 0.98330818 1.00000000
## 79   0.99246807 0.98363567 1.00000000
## 80   0.99273662 0.98397306 1.00000000
## 81   0.11947921 0.09457987 0.14437854
## 82   0.63117814 0.59464257 0.66771370
## 83   0.77676632 0.75046891 0.80306374
## 84   0.83948694 0.81852189 0.86045200
## 85   0.87978514 0.86189457 0.89767571
## 86   0.90448127 0.88820463 0.92075790
## 87   0.92414755 0.90915846 0.93913665
## 88   0.93794571 0.92395624 0.95193519
## 89   0.94978668 0.93675069 0.96282267
## 90   0.95842030 0.94613890 0.97070170
## 91   0.96594844 0.95436632 0.97753057
## 92   0.97145821 0.96041345 0.98250297
## 93   0.97625071 0.96568965 0.98681178
## 94   0.97974725 0.96954060 0.98995389
## 95   0.98279641 0.97287885 0.99271397
## 96   0.98505791 0.97531088 0.99480495
## 97   0.98711297 0.97744035 0.99678558
## 98   0.98875698 0.97904231 0.99847166
## 99   0.99043062 0.98054231 1.00000000
## 100  0.99056668 0.98067811 1.00000000
## 101  0.99070080 0.98081184 1.00000000
## 102  0.99194150 0.98204749 1.00000000
## 103  0.99311595 0.98323178 1.00000000
## 104  0.99411924 0.98427374 1.00000000
## 105  0.99497630 0.98520077 1.00000000
## 106  0.99570846 0.98603172 1.00000000
## 107  0.99633391 0.98678054 1.00000000
## 108  0.99686821 0.98745818 1.00000000
## 109  0.99732464 0.98807359 1.00000000
## 110  0.99771455 0.98863432 1.00000000
## 111  0.99804763 0.98914687 1.00000000
## 112  0.99833217 0.98961687 1.00000000
## 113  0.99857524 0.99004924 1.00000000
## 114  0.99878289 0.99044828 1.00000000
## 115  0.99896027 0.99081776 1.00000000
## 116  0.99911180 0.99116098 1.00000000
## 117  0.99924125 0.99148085 1.00000000
## 118  0.99935183 0.99177990 1.00000000
## 119  0.99944629 0.99206035 1.00000000
## 120  0.99952699 0.99232414 1.00000000
## 121  0.05300481 0.04599528 0.06001435
## 122  0.58115978 0.54724700 0.61507256
## 123  0.75773938 0.72893930 0.78653946
## 124  0.83515805 0.81051016 0.85980594
## 125  0.87190831 0.85017375 0.89364287
## 126  0.89330282 0.87372822 0.91287742
## 127  0.90762563 0.88972385 0.92552741
## 128  0.91701137 0.90027190 0.93375084
## 129  0.92445702 0.90860090 0.94031314
## 130  0.93012965 0.91484368 0.94541562
## 131  0.93495832 0.92002570 0.94989094
## 132  0.93943469 0.92468059 0.95418879
## 133  0.94324420 0.92850934 0.95797906
## 134  0.94690765 0.93206504 0.96175025
## 135  0.95009555 0.93505009 0.96514102
## 136  0.95304544 0.93771212 0.96837876
## 137  0.95593049 0.94020902 0.97165197
## 138  0.95846879 0.94230290 0.97463467
## 139  0.96096096 0.94424523 0.97767669
## 140  0.96108718 0.94434070 0.97783367
## 141  0.96121300 0.94443602 0.97798998
## 142  0.96329068 0.94603852 0.98054283
## 143  0.96525706 0.94761338 0.98290075
## 144  0.96722443 0.94925503 0.98519383
## 145  0.96898010 0.95078080 0.98717940
## 146  0.97073664 0.95236772 0.98910557
## 147  0.97230417 0.95383649 0.99077185
## 148  0.97387249 0.95535671 0.99238827
## 149  0.97527204 0.95675680 0.99378729
## 150  0.97667230 0.95819912 0.99514548
## 151  0.97792188 0.95952175 0.99632201
## 152  0.97917208 0.96087904 0.99746513
## 153  0.98028776 0.96211943 0.99845609
## 154  0.98140399 0.96338852 0.99941947
## 155  0.98240011 0.96454529 1.00000000
## 156  0.98339673 0.96572614 1.00000000
## 157  0.98428611 0.96680040 1.00000000
## 158  0.98517593 0.96789520 1.00000000
## 159  0.98597000 0.96888974 1.00000000
## 160  0.98676447 0.96990207 1.00000000
## 161  0.05725589 0.04592186 0.06858993
## 162  0.57652839 0.53826183 0.61479495
## 163  0.74386529 0.71429354 0.77343705
## 164  0.81844951 0.79474569 0.84215334
## 165  0.85726199 0.83715248 0.87737150
## 166  0.88286083 0.86513016 0.90059149
## 167  0.90032027 0.88402952 0.91661102
## 168  0.91248100 0.89697095 0.92799104
## 169  0.92225218 0.90714387 0.93736050
## 170  0.92985846 0.91486954 0.94484737
## 171  0.93563297 0.92059782 0.95066812
## 172  0.94058412 0.92540816 0.95576007
## 173  0.94467832 0.92931825 0.96003840
## 174  0.94798360 0.93243594 0.96353126
## 175  0.95101639 0.93526968 0.96676310
## 176  0.95372344 0.93777420 0.96967267
## 177  0.95608651 0.93993014 0.97224287
## 178  0.95842760 0.94201793 0.97483727
## 179  0.96067416 0.94394956 0.97739876
## 180  0.96078462 0.94404245 0.97752680
## 181  0.96089478 0.94413511 0.97765445
## 182  0.96282550 0.94576711 0.97988389
## 183  0.96476016 0.94742779 0.98209253
## 184  0.96659414 0.94903673 0.98415156
## 185  0.96824347 0.95051945 0.98596749
## 186  0.96989617 0.95204422 0.98774812
## 187  0.97146286 0.95352936 0.98939636
## 188  0.97287180 0.95490050 0.99084311
## 189  0.97428363 0.95631028 0.99225699
## 190  0.97562198 0.95768153 0.99356244
## 191  0.97682558 0.95894505 0.99470612
## 192  0.97803164 0.96024123 0.99582206
## 193  0.97917494 0.96149896 0.99685091
## 194  0.98020312 0.96265520 0.99775105
## 195  0.98123341 0.96383870 0.99862811
## 196  0.98221007 0.96498464 0.99943550
## 197  0.98308841 0.96603609 1.00000000
## 198  0.98396853 0.96711045 1.00000000
## 199  0.98480285 0.96814902 1.00000000
## 200  0.98559375 0.96915254 1.00000000
## 201  0.03682835 0.02913531 0.04452140
## 202  0.27403259 0.23244256 0.31562262
## 203  0.45201076 0.40201182 0.50200970
## 204  0.55989982 0.51112721 0.60867244
## 205  0.64541219 0.60054656 0.69027781
## 206  0.70632991 0.66569857 0.74696125
## 207  0.74681793 0.70960094 0.78403492
## 208  0.78188501 0.74782147 0.81594855
## 209  0.80642380 0.77440387 0.83844373
## 210  0.82864398 0.79800134 0.85928662
## 211  0.84663367 0.81645115 0.87681619
## 212  0.85993318 0.82952412 0.89034224
## 213  0.87255114 0.84136662 0.90373566
## 214  0.88211067 0.84993292 0.91428842
## 215  0.89137544 0.85788860 0.92486228
## 216  0.89936198 0.86447700 0.93424696
## 217  0.90558183 0.86944239 0.94172127
## 218  0.91175740 0.87423469 0.94928011
## 219  0.91719745 0.87834046 0.95605444
## 220  0.91776515 0.87876452 0.95676578
## 221  0.91832895 0.87918676 0.95747115
## 222  0.92270243 0.88250660 0.96289826
## 223  0.92684171 0.88573766 0.96794577
## 224  0.93075933 0.88889033 0.97262834
## 225  0.93446717 0.89196762 0.97696671
## 226  0.93840168 0.89533882 0.98146454
## 227  0.94170027 0.89825277 0.98514777
## 228  0.94482222 0.90108681 0.98855762
## 229  0.94777698 0.90383933 0.99171464
## 230  0.95057352 0.90650924 0.99463781
## 231  0.95354103 0.90941359 0.99766847
## 232  0.95602890 0.91190714 1.00000000
## 233  0.95838355 0.91431847 1.00000000
## 234  0.96061211 0.91664869 1.00000000
## 235  0.96272133 0.91889924 1.00000000
## 236  0.96495950 0.92133802 1.00000000
## 237  0.96683592 0.92342523 1.00000000
## 238  0.96861185 0.92543874 1.00000000
## 239  0.97029268 0.92738076 1.00000000
## 240  0.97207628 0.92948287 1.00000000
## 241  0.13215078 0.11111840 0.15318317
## 242  0.72643572 0.69905555 0.75381589
## 243  0.83848639 0.81635097 0.86062181
## 244  0.89160836 0.87397393 0.90924279
## 245  0.92214179 0.90790248 0.93638111
## 246  0.94216735 0.93020785 0.95412684
## 247  0.95478907 0.94413647 0.96544168
## 248  0.96365660 0.95380790 0.97350529
## 249  0.97009658 0.96076207 0.97943109
## 250  0.97511102 0.96614220 0.98407984
## 251  0.97870991 0.96999382 0.98742600
## 252  0.98150301 0.97298241 0.99002360
## 253  0.98371261 0.97534368 0.99208154
## 254  0.98549713 0.97723780 0.99375646
## 255  0.98704331 0.97884966 0.99523697
## 256  0.98828703 0.98010282 0.99647125
## 257  0.98938008 0.98114878 0.99761138
## 258  0.99037796 0.98203969 0.99871624
## 259  0.99137931 0.98286136 0.99989726
## 260  0.99142871 0.98274623 1.00000000
## 261  0.99147783 0.98279720 1.00000000
## 262  0.99231537 0.98367985 1.00000000
## 263  0.99307060 0.98450531 1.00000000
## 264  0.99375160 0.98528092 1.00000000
## 265  0.99439797 0.98604967 1.00000000
## 266  0.99494852 0.98673318 1.00000000
## 267  0.99544497 0.98737520 1.00000000
## 268  0.99589263 0.98797772 1.00000000
## 269  0.99631751 0.98857310 1.00000000
## 270  0.99667942 0.98910086 1.00000000
## 271  0.99700576 0.98959548 1.00000000
## 272  0.99730003 0.99005903 1.00000000
## 273  0.99757932 0.99051691 1.00000000
## 274  0.99781722 0.99092299 1.00000000
## 275  0.99803174 0.99130404 1.00000000
## 276  0.99822518 0.99166185 1.00000000
## 277  0.99840877 0.99201620 1.00000000
## 278  0.99856516 0.99233143 1.00000000
## 279  0.99870617 0.99262824 1.00000000
## 280  0.99884001 0.99292308 1.00000000
## 281  0.05198749 0.04387824 0.06009673
## 282  0.43754019 0.39709092 0.47798945
## 283  0.63897359 0.60214547 0.67580171
## 284  0.73718182 0.70688288 0.76748075
## 285  0.80193859 0.77704617 0.82683100
## 286  0.84173097 0.82019195 0.86326998
## 287  0.87343395 0.85435028 0.89251762
## 288  0.89585196 0.87832994 0.91337399
## 289  0.91544932 0.89919852 0.93170012
## 290  0.93016543 0.91485355 0.94547730
## 291  0.94351930 0.92907486 0.95796375
## 292  0.95379194 0.94001591 0.96756798
## 293  0.96326122 0.95005409 0.97646835
## 294  0.97062393 0.95775882 0.98348905
## 295  0.97745852 0.96474244 0.99017460
## 296  0.98279492 0.97000543 0.99558441
## 297  0.98775628 0.97467891 1.00000000
## 298  0.99162708 0.97813088 1.00000000
## 299  0.99521531 0.98113774 1.00000000
## 300  0.99547629 0.98137018 1.00000000
## 301  0.99572304 0.98159083 1.00000000
## 302  0.99755915 0.98328736 1.00000000
## 303  0.99868299 0.98445518 1.00000000
## 304  0.99928938 0.98523855 1.00000000
## 305  0.99961657 0.98582293 1.00000000
## 306  0.99979311 0.98630270 1.00000000
## 307  0.99988837 0.98672537 1.00000000
## 308  0.99993977 0.98711437 1.00000000
## 309  0.99996750 0.98748095 1.00000000
## 310  0.99998246 0.98783037 1.00000000
## 311  0.99999054 0.98816501 1.00000000
## 312  0.99999489 0.98848601 1.00000000
## 313  0.99999725 0.98879399 1.00000000
## 314  0.99999851 0.98908938 1.00000000
## 315  0.99999920 0.98937263 1.00000000
## 316  0.99999957 0.98964421 1.00000000
## 317  0.99999977 0.98990461 1.00000000
## 318  0.99999987 0.99015437 1.00000000
## 319  0.99999993 0.99039402 1.00000000
## 320  0.99999996 0.99062412 1.00000000
## 321  0.09209698 0.07576333 0.10843062
## 322  0.62912716 0.59432311 0.66393121
## 323  0.75093741 0.71964697 0.78222785
## 324  0.81475665 0.78759436 0.84191894
## 325  0.85078840 0.82684620 0.87473060
## 326  0.87581479 0.85420077 0.89742881
## 327  0.89282127 0.87265399 0.91298854
## 328  0.90629083 0.88709851 0.92548315
## 329  0.91631971 0.89770851 0.93493091
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## 1071 0.99234433 0.98446230 1.00000000
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## 1088 0.93433024 0.92024825 0.94841223
## 1089 0.94640010 0.93299694 0.95980326
## 1090 0.95544358 0.94258371 0.96830344
## 1091 0.96234671 0.94991669 0.97477674
## 1092 0.96771483 0.95562000 0.97980965
## 1093 0.97197212 0.96013036 0.98381388
## 1094 0.97541997 0.96375453 0.98708542
## 1095 0.97827310 0.96670696 0.98983924
## 1096 0.98068353 0.96913639 0.99223068
## 1097 0.98275793 0.97114568 0.99437019
## 1098 0.98457089 0.97280684 0.99633494
## 1099 0.98630137 0.97427381 0.99832893
## 1100 0.98642590 0.97438048 0.99847133
## 1101 0.98654930 0.97448710 0.99861151
## 1102 0.98783487 0.97565674 1.00000000
## 1103 0.98899757 0.97681212 1.00000000
## 1104 0.99013960 0.97803707 1.00000000
## 1105 0.99108202 0.97911341 1.00000000
## 1106 0.99200769 0.98022771 1.00000000
## 1107 0.99277157 0.98119074 1.00000000
## 1108 0.99352187 0.98217706 1.00000000
## 1109 0.99414102 0.98302367 1.00000000
## 1110 0.99474918 0.98388718 1.00000000
## 1111 0.99525103 0.98462663 1.00000000
## 1112 0.99574397 0.98538004 1.00000000
## 1113 0.99615074 0.98602506 1.00000000
## 1114 0.99655029 0.98668252 1.00000000
## 1115 0.99688000 0.98724589 1.00000000
## 1116 0.99720385 0.98782083 1.00000000
## 1117 0.99747110 0.98831423 1.00000000
## 1118 0.99773359 0.98881865 1.00000000
## 1119 0.99795021 0.98925236 1.00000000
## 1120 0.99816297 0.98969666 1.00000000
## 1121 0.06994467 0.05910526 0.08078408
## 1122 0.61280361 0.58636993 0.63923729
## 1123 0.77559181 0.75077852 0.80040510
## 1124 0.84858102 0.82404917 0.87311287
## 1125 0.88763736 0.86374311 0.91153162
## 1126 0.91132824 0.88806403 0.93459245
## 1127 0.92712485 0.90448995 0.94975974
## 1128 0.93838891 0.91643441 0.96034340
## 1129 0.94677884 0.92554023 0.96801744
## 1130 0.95352031 0.93302530 0.97401532
## 1131 0.95842169 0.93857075 0.97827263
## 1132 0.96225639 0.94296863 0.98154416
## 1133 0.96527460 0.94646242 0.98408679
## 1134 0.96766469 0.94924426 0.98608512
## 1135 0.96957087 0.95146649 0.98767526
## 1136 0.97110286 0.95324705 0.98895868
## 1137 0.97234201 0.95467349 0.99001054
## 1138 0.97334585 0.95580664 0.99088506
## 1139 0.97419355 0.95672818 0.99165891
## 1140 0.97423524 0.95676992 0.99170056
## 1141 0.97427686 0.95681155 0.99174217
## 1142 0.97493376 0.95746448 0.99240304
## 1143 0.97557389 0.95809857 0.99304920
## 1144 0.97619766 0.95872024 0.99367508
## 1145 0.97684298 0.95937195 0.99431402
## 1146 0.97743435 0.95997987 0.99488883
## 1147 0.97801062 0.96058419 0.99543704
## 1148 0.97857217 0.96118579 0.99595854
## 1149 0.97915311 0.96182243 0.99648379
## 1150 0.97968548 0.96241922 0.99695174
## 1151 0.98020426 0.96301350 0.99739502
## 1152 0.98070979 0.96360492 0.99781466
## 1153 0.98123278 0.96422971 0.99823585
## 1154 0.98171204 0.96481389 0.99861019
## 1155 0.98217907 0.96539387 0.99896426
## 1156 0.98263416 0.96596919 0.99929914
## 1157 0.98310498 0.96657489 0.99963507
## 1158 0.98353643 0.96713929 0.99993357
## 1159 0.98395687 0.96769783 1.00000000
## 1160 0.98439182 0.96828450 1.00000000
## 
## $coverage_based
##      Assemblage         SC    m        Method Order.q        qD     qD.LCL
## 1          BE10 0.39408454    1   Rarefaction       0  1.000005  0.8786546
## 2          BE10 0.81624219   15   Rarefaction       0  5.138523  4.1329820
## 3          BE10 0.89466844   30   Rarefaction       0  7.261202  6.0155349
## 4          BE10 0.92783460   44   Rarefaction       0  8.493793  7.0305987
## 5          BE10 0.94612196   59   Rarefaction       0  9.433918  7.7514076
## 6          BE10 0.95625439   74   Rarefaction       0 10.164353  8.2607684
## 7          BE10 0.96206318   88   Rarefaction       0 10.736163  8.6178472
## 8          BE10 0.96623309  103   Rarefaction       0 11.274110  8.9223774
## 9          BE10 0.96906748  117   Rarefaction       0 11.727560  9.1599486
## 10         BE10 0.97146996  132   Rarefaction       0 12.174118  9.3438010
## 11         BE10 0.97349012  147   Rarefaction       0 12.587567  9.4450544
## 12         BE10 0.97516349  161   Rarefaction       0 12.947639  9.5181469
## 13         BE10 0.97680512  176   Rarefaction       0 13.308532  9.5814216
## 14         BE10 0.97823491  190   Rarefaction       0 13.623868  9.6282137
## 15         BE10 0.97968357  205   Rarefaction       0 13.940110  9.6634367
## 16         BE10 0.98106612  220   Rarefaction       0 14.235107  9.6715965
## 17         BE10 0.98231255  234   Rarefaction       0 14.492039  9.6484607
## 18         BE10 0.98361695  249   Rarefaction       0 14.748190  9.6088613
## 19         BE10 0.98490566  263   Rarefaction       0 14.973973  9.5468705
## 20         BE10 0.98499094  265      Observed       0 15.000000  9.5524970
## 21         BE10 0.98507574  266 Extrapolation       0 15.015009  9.5460462
## 22         BE10 0.98613547  279 Extrapolation       0 15.202582  9.4685094
## 23         BE10 0.98719272  293 Extrapolation       0 15.389716  9.3850394
## 24         BE10 0.98816936  307 Extrapolation       0 15.562580  9.3095815
## 25         BE10 0.98907151  321 Extrapolation       0 15.722262  9.2580115
## 26         BE10 0.98990488  335 Extrapolation       0 15.869767  9.1861872
## 27         BE10 0.99067469  349 Extrapolation       0 16.006024  9.1154660
## 28         BE10 0.99138580  363 Extrapolation       0 16.131891  9.0452025
## 29         BE10 0.99204269  377 Extrapolation       0 16.248159  8.9754033
## 30         BE10 0.99264948  391 Extrapolation       0 16.355562  8.9068017
## 31         BE10 0.99317142  404 Extrapolation       0 16.447945  8.8453919
## 32         BE10 0.99369214  418 Extrapolation       0 16.540113  8.7822171
## 33         BE10 0.99417315  432 Extrapolation       0 16.625252  8.7222688
## 34         BE10 0.99461749  446 Extrapolation       0 16.703899  8.6656217
## 35         BE10 0.99502793  460 Extrapolation       0 16.776548  8.6122896
## 36         BE10 0.99540708  474 Extrapolation       0 16.843658  8.5622431
## 37         BE10 0.99575732  488 Extrapolation       0 16.905650  8.5154273
## 38         BE10 0.99608085  502 Extrapolation       0 16.962915  8.4717812
## 39         BE10 0.99637971  516 Extrapolation       0 17.015813  8.4312253
## 40         BE10 0.99665578  530 Extrapolation       0 17.064677  8.3933990
## 41         BE11 0.11437155    1   Rarefaction       0  1.000000  0.8455083
## 42         BE11 0.71404943   24   Rarefaction       0 12.039820 10.5192615
## 43         BE11 0.83540696   47   Rarefaction       0 17.059839 15.0761811
## 44         BE11 0.89049749   71   Rarefaction       0 20.301219 18.0052450
## 45         BE11 0.91979579   94   Rarefaction       0 22.469925 19.9185231
## 46         BE11 0.93844882  117   Rarefaction       0 24.094760 21.2639202
## 47         BE11 0.95154503  141   Rarefaction       0 25.411433 22.2463801
## 48         BE11 0.96032454  164   Rarefaction       0 26.423741 22.9035679
## 49         BE11 0.96693307  188   Rarefaction       0 27.295731 23.3801000
## 50         BE11 0.97160537  211   Rarefaction       0 28.002310 23.6940436
## 51         BE11 0.97513590  234   Rarefaction       0 28.614707 23.9058960
## 52         BE11 0.97793683  258   Rarefaction       0 29.177696 24.0250165
## 53         BE11 0.97999182  281   Rarefaction       0 29.661528 23.8848442
## 54         BE11 0.98164234  305   Rarefaction       0 30.121871 23.6801905
## 55         BE11 0.98286542  328   Rarefaction       0 30.530064 23.5190088
## 56         BE11 0.98382524  351   Rarefaction       0 30.913169 23.4167581
## 57         BE11 0.98462189  375   Rarefaction       0 31.291853 23.3547970
## 58         BE11 0.98524932  398   Rarefaction       0 31.638444 23.3342058
## 59         BE11 0.98581560  421   Rarefaction       0 31.975202 23.3294089
## 60         BE11 0.98583798  423      Observed       0 32.000000 23.3413087
## 61         BE11 0.98586031  424 Extrapolation       0 32.014162 23.3420767
## 62         BE11 0.98634292  446 Extrapolation       0 32.320137 23.3490003
## 63         BE11 0.98680906  468 Extrapolation       0 32.615669 23.3454608
## 64         BE11 0.98725929  490 Extrapolation       0 32.901113 23.3338962
## 65         BE11 0.98769415  512 Extrapolation       0 33.176815 23.3164374
## 66         BE11 0.98813292  535 Extrapolation       0 33.454993 23.2940393
## 67         BE11 0.98853796  557 Extrapolation       0 33.711790 23.2696205
## 68         BE11 0.98892918  579 Extrapolation       0 33.959822 23.2420950
## 69         BE11 0.98930704  601 Extrapolation       0 34.199389 23.2121712
## 70         BE11 0.98967201  623 Extrapolation       0 34.430778 23.1804737
## 71         BE11 0.99004026  646 Extrapolation       0 34.664246 23.1461263
## 72         BE11 0.99038020  668 Extrapolation       0 34.879769 23.1130757
## 73         BE11 0.99070854  690 Extrapolation       0 35.087936 23.0813195
## 74         BE11 0.99102567  712 Extrapolation       0 35.288999 23.0487281
## 75         BE11 0.99133198  734 Extrapolation       0 35.483198 23.0151004
## 76         BE11 0.99164104  757 Extrapolation       0 35.679142 22.9792290
## 77         BE11 0.99192634  779 Extrapolation       0 35.860025 22.9445833
## 78         BE11 0.99220191  801 Extrapolation       0 36.034734 22.9099472
## 79         BE11 0.99246807  823 Extrapolation       0 36.203481 22.8756908
## 80         BE11 0.99273662  846 Extrapolation       0 36.373742 22.8408345
## 81         BE12 0.11947921    1   Rarefaction       0  1.000000  0.8994421
## 82         BE12 0.63117812   12   Rarefaction       0  7.345013  6.2671296
## 83         BE12 0.77676623   24   Rarefaction       0 10.836122  9.4297558
## 84         BE12 0.83948693   35   Rarefaction       0 12.944977 11.3785967
## 85         BE12 0.87978515   47   Rarefaction       0 14.630595 12.9352905
## 86         BE12 0.90448130   58   Rarefaction       0 15.821996 14.0222645
## 87         BE12 0.92414757   70   Rarefaction       0 16.854248 14.9524331
## 88         BE12 0.93794572   81   Rarefaction       0 17.616638 15.6314549
## 89         BE12 0.94978665   93   Rarefaction       0 18.293312 16.2287984
## 90         BE12 0.95842030  104   Rarefaction       0 18.800802 16.6766985
## 91         BE12 0.96594846  116   Rarefaction       0 19.256609 17.0833526
## 92         BE12 0.97145820  127   Rarefaction       0 19.602545 17.3932056
## 93         BE12 0.97625071  139   Rarefaction       0 19.917558 17.6455928
## 94         BE12 0.97974725  150   Rarefaction       0 20.160627 17.7406772
## 95         BE12 0.98279641  162   Rarefaction       0 20.386195 17.6410802
## 96         BE12 0.98505792  173   Rarefaction       0 20.563733 17.5249327
## 97         BE12 0.98711297  185   Rarefaction       0 20.731389 17.3766698
## 98         BE12 0.98875698  196   Rarefaction       0 20.864776 17.2368077
## 99         BE12 0.99043062  208   Rarefaction       0 20.989324 17.0837147
## 100        BE12 0.99056668  209      Observed       0 21.000000 17.0727124
## 101        BE12 0.99070080  210 Extrapolation       0 21.009433 17.0591314
## 102        BE12 0.99194150  220 Extrapolation       0 21.096696 16.9273797
## 103        BE12 0.99311595  231 Extrapolation       0 21.179299 16.7964805
## 104        BE12 0.99411924  242 Extrapolation       0 21.249863 16.6805378
## 105        BE12 0.99497630  253 Extrapolation       0 21.310144 16.5789468
## 106        BE12 0.99570846  264 Extrapolation       0 21.361639 16.4904988
## 107        BE12 0.99633391  275 Extrapolation       0 21.405629 16.4137528
## 108        BE12 0.99686821  286 Extrapolation       0 21.443208 16.3473787
## 109        BE12 0.99732464  297 Extrapolation       0 21.475310 16.2901124
## 110        BE12 0.99771455  308 Extrapolation       0 21.502734 16.2407942
## 111        BE12 0.99804763  319 Extrapolation       0 21.526160 16.1983834
## 112        BE12 0.99833217  330 Extrapolation       0 21.546173 16.1619537
## 113        BE12 0.99857524  341 Extrapolation       0 21.563269 16.1306915
## 114        BE12 0.99878289  352 Extrapolation       0 21.577873 16.1038821
## 115        BE12 0.99896027  363 Extrapolation       0 21.590349 16.0809071
## 116        BE12 0.99911180  374 Extrapolation       0 21.601007 16.0612274
## 117        BE12 0.99924125  385 Extrapolation       0 21.610111 16.0443773
## 118        BE12 0.99935183  396 Extrapolation       0 21.617889 16.0299554
## 119        BE12 0.99944629  407 Extrapolation       0 21.624533 16.0176161
## 120        BE12 0.99952699  418 Extrapolation       0 21.630209 16.0070590
## 121        BE13 0.05300481    1   Rarefaction       0  1.000000  0.9435347
## 122        BE13 0.58115955   19   Rarefaction       0 12.630229 11.2281670
## 123        BE13 0.75773941   37   Rarefaction       0 18.418020 16.2914066
## 124        BE13 0.83515803   56   Rarefaction       0 22.229057 19.4755040
## 125        BE13 0.87190830   74   Rarefaction       0 24.851476 21.5850638
## 126        BE13 0.89330283   92   Rarefaction       0 26.959730 23.2416461
## 127        BE13 0.90762563  111   Rarefaction       0 28.848596 24.7098347
## 128        BE13 0.91701137  129   Rarefaction       0 30.427140 25.9323366
## 129        BE13 0.92445702  148   Rarefaction       0 31.933920 27.0923832
## 130        BE13 0.93012965  166   Rarefaction       0 33.243929 28.0858737
## 131        BE13 0.93495832  184   Rarefaction       0 34.459532 28.9825712
## 132        BE13 0.93943469  203   Rarefaction       0 35.654193 29.8221704
## 133        BE13 0.94324420  221   Rarefaction       0 36.711439 30.5024993
## 134        BE13 0.94690765  240   Rarefaction       0 37.756304 31.0613776
## 135        BE13 0.95009556  258   Rarefaction       0 38.684491 31.4871355
## 136        BE13 0.95304544  276   Rarefaction       0 39.557362 31.8477027
## 137        BE13 0.95593050  295   Rarefaction       0 40.423183 32.1473347
## 138        BE13 0.95846878  313   Rarefaction       0 41.194587 32.3724136
## 139        BE13 0.96096096  332   Rarefaction       0 41.946537 32.4102197
## 140        BE13 0.96108718  333      Observed       0 42.000000 32.4211763
## 141        BE13 0.96121300  334 Extrapolation       0 42.038913 32.4161022
## 142        BE13 0.96329068  351 Extrapolation       0 42.681509 32.2936417
## 143        BE13 0.96525706  368 Extrapolation       0 43.289684 32.0795916
## 144        BE13 0.96722443  386 Extrapolation       0 43.898162 31.7935909
## 145        BE13 0.96898010  403 Extrapolation       0 44.441165 31.4903089
## 146        BE13 0.97073664  421 Extrapolation       0 44.984440 31.1509898
## 147        BE13 0.97230417  438 Extrapolation       0 45.469255 30.8233085
## 148        BE13 0.97387249  456 Extrapolation       0 45.954312 30.4775776
## 149        BE13 0.97527204  473 Extrapolation       0 46.387175 30.1517802
## 150        BE13 0.97667230  491 Extrapolation       0 46.820254 29.8110598
## 151        BE13 0.97792188  508 Extrapolation       0 47.206731 29.4961897
## 152        BE13 0.97917208  526 Extrapolation       0 47.593401 29.1722577
## 153        BE13 0.98028776  543 Extrapolation       0 47.938464 28.8762289
## 154        BE13 0.98140399  561 Extrapolation       0 48.283699 28.5739525
## 155        BE13 0.98240011  578 Extrapolation       0 48.591784 28.2995006
## 156        BE13 0.98339673  596 Extrapolation       0 48.900024 28.0209654
## 157        BE13 0.98428611  613 Extrapolation       0 49.175096 27.7693025
## 158        BE13 0.98517593  631 Extrapolation       0 49.450305 27.5147422
## 159        BE13 0.98597000  648 Extrapolation       0 49.695900 27.2853904
## 160        BE13 0.98676447  666 Extrapolation       0 49.941617 27.0540011
## 161        BE14 0.05725589    1   Rarefaction       0  1.000000  0.9104808
## 162        BE14 0.57652840   20   Rarefaction       0 13.090894 11.2517135
## 163        BE14 0.74386538   40   Rarefaction       0 19.715455 17.1203738
## 164        BE14 0.81844953   60   Rarefaction       0 24.044830 20.8951148
## 165        BE14 0.85726202   79   Rarefaction       0 27.113811 23.5426939
## 166        BE14 0.88286082   99   Rarefaction       0 29.707402 25.7556211
## 167        BE14 0.90032026  119   Rarefaction       0 31.874375 27.5583882
## 168        BE14 0.91248101  138   Rarefaction       0 33.653498 28.9805617
## 169        BE14 0.92225218  158   Rarefaction       0 35.306795 30.2457933
## 170        BE14 0.92985846  178   Rarefaction       0 36.786474 31.3371916
## 171        BE14 0.93563297  197   Rarefaction       0 38.065288 32.2559124
## 172        BE14 0.94058411  217   Rarefaction       0 39.303941 33.1271391
## 173        BE14 0.94467832  237   Rarefaction       0 40.452149 33.9172779
## 174        BE14 0.94798360  256   Rarefaction       0 41.472750 34.6000214
## 175        BE14 0.95101639  276   Rarefaction       0 42.483623 35.2422197
## 176        BE14 0.95372344  296   Rarefaction       0 43.437130 35.7814027
## 177        BE14 0.95608650  315   Rarefaction       0 44.294855 36.1770835
## 178        BE14 0.95842760  335   Rarefaction       0 45.150687 36.4915338
## 179        BE14 0.96067416  354   Rarefaction       0 45.937157 36.7034257
## 180        BE14 0.96078462  356      Observed       0 46.000000 36.7346586
## 181        BE14 0.96089478  357 Extrapolation       0 46.039215 36.7441956
## 182        BE14 0.96282550  375 Extrapolation       0 46.726552 36.8980976
## 183        BE14 0.96476016  394 Extrapolation       0 47.415292 37.0330360
## 184        BE14 0.96659414  413 Extrapolation       0 48.068189 37.1491024
## 185        BE14 0.96824347  431 Extrapolation       0 48.655350 37.2412718
## 186        BE14 0.96989617  450 Extrapolation       0 49.243710 37.3298795
## 187        BE14 0.97146286  469 Extrapolation       0 49.801451 37.3881253
## 188        BE14 0.97287180  487 Extrapolation       0 50.303037 37.4179597
## 189        BE14 0.97428363  506 Extrapolation       0 50.805647 37.4315200
## 190        BE14 0.97562198  525 Extrapolation       0 51.282100 37.4325163
## 191        BE14 0.97682558  543 Extrapolation       0 51.710582 37.4194812
## 192        BE14 0.97803164  562 Extrapolation       0 52.139940 37.3941201
## 193        BE14 0.97917494  581 Extrapolation       0 52.546952 37.3600726
## 194        BE14 0.98020312  599 Extrapolation       0 52.912986 37.3217894
## 195        BE14 0.98123341  618 Extrapolation       0 53.279767 37.2766572
## 196        BE14 0.98221007  637 Extrapolation       0 53.627460 37.2272736
## 197        BE14 0.98308841  655 Extrapolation       0 53.940146 37.1778385
## 198        BE14 0.98396853  674 Extrapolation       0 54.253471 37.1237405
## 199        BE14 0.98480285  693 Extrapolation       0 54.550490 37.0686749
## 200        BE14 0.98559375  712 Extrapolation       0 54.832051 37.0132317
## 201        BE15 0.03682863    1   Rarefaction       0  1.000007  0.9766744
## 202        BE15 0.27403269    9   Rarefaction       0  7.814114  6.6403508
## 203        BE15 0.45201084   18   Rarefaction       0 13.581024 11.5990427
## 204        BE15 0.55989945   26   Rarefaction       0 17.562950 15.0289813
## 205        BE15 0.64541235   35   Rarefaction       0 21.159341 18.1147788
## 206        BE15 0.70633001   44   Rarefaction       0 24.092473 20.6217697
## 207        BE15 0.74681802   52   Rarefaction       0 26.293255 22.5015504
## 208        BE15 0.78188506   61   Rarefaction       0 28.424767 24.3204128
## 209        BE15 0.80642382   69   Rarefaction       0 30.080358 25.7214755
## 210        BE15 0.82864400   78   Rarefaction       0 31.730039 27.0818228
## 211        BE15 0.84663366   87   Rarefaction       0 33.197592 28.2182094
## 212        BE15 0.85993315   95   Rarefaction       0 34.376520 29.0166461
## 213        BE15 0.87255116  104   Rarefaction       0 35.585025 29.5507038
## 214        BE15 0.88211068  112   Rarefaction       0 36.570247 29.6155962
## 215        BE15 0.89137544  121   Rarefaction       0 37.593140 29.2803152
## 216        BE15 0.89936200  130   Rarefaction       0 38.537966 28.7970830
## 217        BE15 0.90558182  138   Rarefaction       0 39.320806 28.3781878
## 218        BE15 0.91175739  147   Rarefaction       0 40.145276 27.9772059
## 219        BE15 0.91719745  156   Rarefaction       0 40.889723 27.5386358
## 220        BE15 0.91776515  157      Observed       0 41.000000 27.5193468
## 221        BE15 0.91832895  158 Extrapolation       0 41.082235 27.4661903
## 222        BE15 0.92270243  166 Extrapolation       0 41.720138 27.0306716
## 223        BE15 0.92684171  174 Extrapolation       0 42.323882 26.5615819
## 224        BE15 0.93075933  182 Extrapolation       0 42.895295 26.0825703
## 225        BE15 0.93446717  190 Extrapolation       0 43.436109 25.6055139
## 226        BE15 0.93840168  199 Extrapolation       0 44.009986 25.0819775
## 227        BE15 0.94170027  207 Extrapolation       0 44.491108 24.6244457
## 228        BE15 0.94482222  215 Extrapolation       0 44.946466 24.1775659
## 229        BE15 0.94777698  223 Extrapolation       0 45.377440 23.7409042
## 230        BE15 0.95057352  231 Extrapolation       0 45.785336 23.3167250
## 231        BE15 0.95354103  240 Extrapolation       0 46.218168 22.8554902
## 232        BE15 0.95602890  248 Extrapolation       0 46.581042 22.4574070
## 233        BE15 0.95838355  256 Extrapolation       0 46.924485 22.0808649
## 234        BE15 0.96061211  264 Extrapolation       0 47.249536 21.7163970
## 235        BE15 0.96272133  272 Extrapolation       0 47.557180 21.3653488
## 236        BE15 0.96495950  281 Extrapolation       0 47.883633 20.9929722
## 237        BE15 0.96683592  289 Extrapolation       0 48.157322 20.6762076
## 238        BE15 0.96861185  297 Extrapolation       0 48.416355 20.3741217
## 239        BE15 0.97029268  305 Extrapolation       0 48.661516 20.0862871
## 240        BE15 0.97207628  314 Extrapolation       0 48.921666 19.7789246
## 241        BE16 0.13215078    1   Rarefaction       0  1.000000  0.9011225
## 242        BE16 0.72643580   20   Rarefaction       0  9.838873  8.5852724
## 243        BE16 0.83848640   39   Rarefaction       0 13.870647 12.1447401
## 244        BE16 0.89160832   58   Rarefaction       0 16.410253 14.3817975
## 245        BE16 0.92214177   77   Rarefaction       0 18.170956 15.9382155
## 246        BE16 0.94216733   97   Rarefaction       0 19.523011 17.1246434
## 247        BE16 0.95478907  116   Rarefaction       0 20.500838 17.9629810
## 248        BE16 0.96365661  135   Rarefaction       0 21.275370 18.6030908
## 249        BE16 0.97009659  154   Rarefaction       0 21.904830 19.0876822
## 250        BE16 0.97511101  174   Rarefaction       0 22.452784 19.4477785
## 251        BE16 0.97870991  193   Rarefaction       0 22.891794 19.6682878
## 252        BE16 0.98150301  212   Rarefaction       0 23.270094 19.7797882
## 253        BE16 0.98371261  231   Rarefaction       0 23.600869 19.8184032
## 254        BE16 0.98549713  250   Rarefaction       0 23.893699 19.8139654
## 255        BE16 0.98704331  270   Rarefaction       0 24.168590 19.7427155
## 256        BE16 0.98828703  289   Rarefaction       0 24.403287 19.6769290
## 257        BE16 0.98938008  308   Rarefaction       0 24.615804 19.6097291
## 258        BE16 0.99037797  327   Rarefaction       0 24.808491 19.5398255
## 259        BE16 0.99137931  346   Rarefaction       0 24.985996 19.4617387
## 260        BE16 0.99142871  348      Observed       0 25.000000 19.4638066
## 261        BE16 0.99147783  349 Extrapolation       0 25.008571 19.4593665
## 262        BE16 0.99231537  367 Extrapolation       0 25.154722 19.3805437
## 263        BE16 0.99307060  385 Extrapolation       0 25.286509 19.3009295
## 264        BE16 0.99375160  403 Extrapolation       0 25.405344 19.2252175
## 265        BE16 0.99439797  422 Extrapolation       0 25.518135 19.1649320
## 266        BE16 0.99494852  440 Extrapolation       0 25.614207 19.0902970
## 267        BE16 0.99544497  458 Extrapolation       0 25.700837 19.0195361
## 268        BE16 0.99589263  476 Extrapolation       0 25.778953 18.9531377
## 269        BE16 0.99631751  495 Extrapolation       0 25.853096 18.8880933
## 270        BE16 0.99667942  513 Extrapolation       0 25.916248 18.8314857
## 271        BE16 0.99700576  531 Extrapolation       0 25.973195 18.7804496
## 272        BE16 0.99730003  549 Extrapolation       0 26.024544 18.7340977
## 273        BE16 0.99757932  568 Extrapolation       0 26.073282 18.6850419
## 274        BE16 0.99781722  586 Extrapolation       0 26.114795 18.6426461
## 275        BE16 0.99803174  604 Extrapolation       0 26.152228 18.6039463
## 276        BE16 0.99822518  622 Extrapolation       0 26.185983 18.5686740
## 277        BE16 0.99840877  641 Extrapolation       0 26.218021 18.5348707
## 278        BE16 0.99856516  659 Extrapolation       0 26.245309 18.5059226
## 279        BE16 0.99870617  677 Extrapolation       0 26.269916 18.4795446
## 280        BE16 0.99884001  696 Extrapolation       0 26.293271 18.4543397
## 281        BE17 0.05198763    1   Rarefaction       0  1.000003  0.9590244
## 282        BE17 0.43753991   12   Rarefaction       0  9.239211  8.0697500
## 283        BE17 0.63897372   24   Rarefaction       0 14.739254 12.9860475
## 284        BE17 0.73718204   35   Rarefaction       0 18.171697 16.0928538
## 285        BE17 0.80193865   47   Rarefaction       0 20.939539 18.6446248
## 286        BE17 0.84173095   58   Rarefaction       0 22.907155 20.4999907
## 287        BE17 0.87343389   70   Rarefaction       0 24.622760 22.1536295
## 288        BE17 0.89585196   81   Rarefaction       0 25.898287 23.4034270
## 289        BE17 0.91544934   93   Rarefaction       0 27.036051 24.5257390
## 290        BE17 0.93016542  104   Rarefaction       0 27.890091 25.3673117
## 291        BE17 0.94351930  116   Rarefaction       0 28.652185 26.1127393
## 292        BE17 0.95379193  127   Rarefaction       0 29.220579 26.6584211
## 293        BE17 0.96326121  139   Rarefaction       0 29.721365 27.1110982
## 294        BE17 0.97062394  150   Rarefaction       0 30.087637 27.1583037
## 295        BE17 0.97745851  162   Rarefaction       0 30.401421 26.6863222
## 296        BE17 0.98279493  173   Rarefaction       0 30.621954 26.0454723
## 297        BE17 0.98775628  185   Rarefaction       0 30.800303 25.2851182
## 298        BE17 0.99162707  196   Rarefaction       0 30.915086 24.6170207
## 299        BE17 0.99521531  208   Rarefaction       0 30.992962 23.9387034
## 300        BE17 0.99547629  209      Observed       0 31.000000 23.8898449
## 301        BE17 0.99572304  210 Extrapolation       0 31.004524 23.8412580
## 302        BE17 0.99755915  220 Extrapolation       0 31.038186 23.4751470
## 303        BE17 0.99868299  231 Extrapolation       0 31.058789 23.2482241
## 304        BE17 0.99928938  242 Extrapolation       0 31.069907 23.1249629
## 305        BE17 0.99961657  253 Extrapolation       0 31.075905 23.0582246
## 306        BE17 0.99979311  264 Extrapolation       0 31.079142 23.0221499
## 307        BE17 0.99988837  275 Extrapolation       0 31.080888 23.0026659
## 308        BE17 0.99993977  286 Extrapolation       0 31.081830 22.9921456
## 309        BE17 0.99996750  297 Extrapolation       0 31.082339 22.9864678
## 310        BE17 0.99998246  308 Extrapolation       0 31.082613 22.9834038
## 311        BE17 0.99999054  319 Extrapolation       0 31.082761 22.9817505
## 312        BE17 0.99999489  330 Extrapolation       0 31.082841 22.9808584
## 313        BE17 0.99999725  341 Extrapolation       0 31.082884 22.9803770
## 314        BE17 0.99999851  352 Extrapolation       0 31.082907 22.9801173
## 315        BE17 0.99999920  363 Extrapolation       0 31.082920 22.9799772
## 316        BE17 0.99999957  374 Extrapolation       0 31.082927 22.9799015
## 317        BE17 0.99999977  385 Extrapolation       0 31.082930 22.9798607
## 318        BE17 0.99999987  396 Extrapolation       0 31.082932 22.9798387
## 319        BE17 0.99999993  407 Extrapolation       0 31.082933 22.9798268
## 320        BE17 0.99999996  418 Extrapolation       0 31.082934 22.9798204
## 321        BE18 0.09209837    1   Rarefaction       0  1.000015  0.8845747
## 322        BE18 0.62912716   21   Rarefaction       0 12.112883 10.1792407
## 323        BE18 0.75093743   41   Rarefaction       0 18.210636 15.3062374
## 324        BE18 0.81475664   62   Rarefaction       0 22.736554 19.0277231
## 325        BE18 0.85078840   82   Rarefaction       0 26.072385 21.6890024
## 326        BE18 0.87581477  103   Rarefaction       0 28.939057 23.8798044
## 327        BE18 0.89282127  123   Rarefaction       0 31.252804 25.5448476
## 328        BE18 0.90629084  144   Rarefaction       0 33.362582 26.9507925
## 329        BE18 0.91631973  164   Rarefaction       0 35.137729 28.0210155
## 330        BE18 0.92476065  185   Rarefaction       0 36.807404 28.8697198
## 331        BE18 0.93130597  205   Rarefaction       0 38.247900 29.3523942
## 332        BE18 0.93671757  225   Rarefaction       0 39.568693 29.4112248
## 333        BE18 0.94142393  246   Rarefaction       0 40.848993 29.1386458
## 334        BE18 0.94514889  266   Rarefaction       0 41.984017 28.9259124
## 335        BE18 0.94840708  287   Rarefaction       0 43.102250 28.8416280
## 336        BE18 0.95099661  307   Rarefaction       0 44.108755 28.8902609
## 337        BE18 0.95327517  328   Rarefaction       0 45.114333 29.0524564
## 338        BE18 0.95510772  348   Rarefaction       0 46.030936 29.2819304
## 339        BE18 0.95675676  368   Rarefaction       0 46.916623 29.5400707
## 340        BE18 0.95682988  370      Observed       0 47.000000 29.5963910
## 341        BE18 0.95690287  371 Extrapolation       0 47.043170 29.6112941
## 342        BE18 0.95826659  390 Extrapolation       0 47.849673 29.8942966
## 343        BE18 0.95958716  409 Extrapolation       0 48.630655 30.1656861
## 344        BE18 0.96093211  429 Extrapolation       0 49.426060 30.4412324
## 345        BE18 0.96216833  448 Extrapolation       0 50.157161 30.6900591
## 346        BE18 0.96342738  468 Extrapolation       0 50.901762 30.9468085
## 347        BE18 0.96458464  487 Extrapolation       0 51.586168 31.1785021
## 348        BE18 0.96570529  506 Extrapolation       0 52.248917 31.4012233
## 349        BE18 0.96684662  526 Extrapolation       0 52.923905 31.6239266
## 350        BE18 0.96789569  545 Extrapolation       0 53.544324 31.8253184
## 351        BE18 0.96896413  565 Extrapolation       0 54.176200 32.0271624
## 352        BE18 0.96994620  584 Extrapolation       0 54.756993 32.2099844
## 353        BE18 0.97094640  604 Extrapolation       0 55.348510 32.3938489
## 354        BE18 0.97186574  623 Extrapolation       0 55.892208 32.5611040
## 355        BE18 0.97275599  642 Extrapolation       0 56.418702 32.7217088
## 356        BE18 0.97366268  662 Extrapolation       0 56.954917 32.8837618
## 357        BE18 0.97449607  681 Extrapolation       0 57.447784 33.0308801
## 358        BE18 0.97534484  701 Extrapolation       0 57.949751 33.1791852
## 359        BE18 0.97612500  720 Extrapolation       0 58.411138 33.3142798
## 360        BE18 0.97691957  740 Extrapolation       0 58.881045 33.4500750
## 361        BE19 0.09812942    1   Rarefaction       0  1.000000  0.8714031
## 362        BE19 0.62136876   20   Rarefaction       0 11.653126  9.5653303
## 363        BE19 0.74983982   39   Rarefaction       0 17.536347 14.8131419
## 364        BE19 0.81750925   58   Rarefaction       0 21.624555 18.5449489
## 365        BE19 0.86006567   77   Rarefaction       0 24.681594 21.3937642
## 366        BE19 0.88943495   96   Rarefaction       0 27.060481 23.6560027
## 367        BE19 0.91096565  115   Rarefaction       0 28.957736 25.4851018
## 368        BE19 0.92743996  134   Rarefaction       0 30.494613 26.9639699
## 369        BE19 0.94042403  153   Rarefaction       0 31.751758 28.1518651
## 370        BE19 0.95085691  172   Rarefaction       0 32.786321 29.1041411
## 371        BE19 0.95933684  191   Rarefaction       0 33.640997 29.8692060
## 372        BE19 0.96626662  210   Rarefaction       0 34.349033 30.4837814
## 373        BE19 0.97193074  229   Rarefaction       0 34.937175 30.9695085
## 374        BE19 0.97653842  248   Rarefaction       0 35.427492 31.3017722
## 375        BE19 0.98024928  267   Rarefaction       0 35.838556 31.1668429
## 376        BE19 0.98318961  286   Rarefaction       0 36.186226 30.8720956
## 377        BE19 0.98546317  305   Rarefaction       0 36.484182 30.5937205
## 378        BE19 0.98715871  324   Rarefaction       0 36.744274 30.3926786
## 379        BE19 0.98840580  343   Rarefaction       0 36.979470 30.2982393
## 380        BE19 0.98845613  345      Observed       0 37.000000 30.3064074
## 381        BE19 0.98850625  346 Extrapolation       0 37.011544 30.3043406
## 382        BE19 0.98937207  364 Extrapolation       0 37.210970 30.2681990
## 383        BE19 0.99017267  382 Extrapolation       0 37.395374 30.2276838
## 384        BE19 0.99091295  400 Extrapolation       0 37.565887 30.1854451
## 385        BE19 0.99159747  418 Extrapolation       0 37.723556 30.1432453
## 386        BE19 0.99223043  436 Extrapolation       0 37.869347 30.1006943
## 387        BE19 0.99281571  454 Extrapolation       0 38.004156 30.0582332
## 388        BE19 0.99335690  472 Extrapolation       0 38.128809 30.0164527
## 389        BE19 0.99385732  490 Extrapolation       0 38.244073 29.9757701
## 390        BE19 0.99432004  508 Extrapolation       0 38.350654 29.9364857
## 391        BE19 0.99477071  527 Extrapolation       0 38.454458 29.8968641
## 392        BE19 0.99516463  545 Extrapolation       0 38.545191 29.8612106
## 393        BE19 0.99552888  563 Extrapolation       0 38.629089 29.8274326
## 394        BE19 0.99586569  581 Extrapolation       0 38.706667 29.7955336
## 395        BE19 0.99617712  599 Extrapolation       0 38.778401 29.7654895
## 396        BE19 0.99646510  617 Extrapolation       0 38.844731 29.7372557
## 397        BE19 0.99673138  635 Extrapolation       0 38.906065 29.7107735
## 398        BE19 0.99697760  653 Extrapolation       0 38.962778 29.6859744
## 399        BE19 0.99720528  671 Extrapolation       0 39.015219 29.6627838
## 400        BE19 0.99742702  690 Extrapolation       0 39.066295 29.6399636
## 401         BE2 0.07262649    1   Rarefaction       0  1.000008  0.9444316
## 402         BE2 0.74343162   25   Rarefaction       0 13.023071 11.5801312
## 403         BE2 0.86969842   49   Rarefaction       0 17.407398 15.3689575
## 404         BE2 0.91170859   73   Rarefaction       0 19.980528 17.5934009
## 405         BE2 0.93241015   97   Rarefaction       0 21.838221 19.2476473
## 406         BE2 0.94505087  121   Rarefaction       0 23.304229 20.5613276
## 407         BE2 0.95360086  145   Rarefaction       0 24.518635 21.6327167
## 408         BE2 0.95975632  169   Rarefaction       0 25.557722 22.5352750
## 409         BE2 0.96440804  193   Rarefaction       0 26.467684 23.3226842
## 410         BE2 0.96807227  217   Rarefaction       0 27.278151 24.0284168
## 411         BE2 0.97106761  241   Rarefaction       0 28.008871 24.6707947
## 412         BE2 0.97360130  265   Rarefaction       0 28.673350 25.2587909
## 413         BE2 0.97581399  289   Rarefaction       0 29.280941 25.7955466
## 414         BE2 0.97780377  313   Rarefaction       0 29.838156 26.2794204
## 415         BE2 0.97963947  337   Rarefaction       0 30.349502 26.7010767
## 416         BE2 0.98136873  361   Rarefaction       0 30.818091 27.0176444
## 417         BE2 0.98302314  385   Rarefaction       0 31.246090 27.1159478
## 418         BE2 0.98462199  409   Rarefaction       0 31.635050 27.0846725
## 419         BE2 0.98617512  432   Rarefaction       0 31.975039 26.9520685
## 420         BE2 0.98623868  434      Observed       0 32.000000 26.9560902
## 421         BE2 0.98630195  435 Extrapolation       0 32.013761 26.9492431
## 422         BE2 0.98762262  457 Extrapolation       0 32.301007 26.7647221
## 423         BE2 0.98886738  480 Extrapolation       0 32.571742 26.5433049
## 424         BE2 0.98998695  503 Extrapolation       0 32.815250 26.3025953
## 425         BE2 0.99099394  526 Extrapolation       0 33.034269 26.0623885
## 426         BE2 0.99186224  548 Extrapolation       0 33.223124 25.8374698
## 427         BE2 0.99268063  571 Extrapolation       0 33.401124 25.6035246
## 428         BE2 0.99341672  594 Extrapolation       0 33.561224 25.3781770
## 429         BE2 0.99407878  617 Extrapolation       0 33.705222 25.1650634
## 430         BE2 0.99467426  640 Extrapolation       0 33.834739 24.9657958
## 431         BE2 0.99518773  662 Extrapolation       0 33.946419 24.7885839
## 432         BE2 0.99567169  685 Extrapolation       0 34.051680 24.6172211
## 433         BE2 0.99610697  708 Extrapolation       0 34.146354 24.4600216
## 434         BE2 0.99649848  731 Extrapolation       0 34.231508 24.3164241
## 435         BE2 0.99685062  754 Extrapolation       0 34.308098 24.1857047
## 436         BE2 0.99715426  776 Extrapolation       0 34.374140 24.0720355
## 437         BE2 0.99744045  799 Extrapolation       0 34.436386 23.9645292
## 438         BE2 0.99769786  822 Extrapolation       0 34.492372 23.8711330
## 439         BE2 0.99792938  845 Extrapolation       0 34.542727 23.7804402
## 440         BE2 0.99813761  868 Extrapolation       0 34.588019 23.6983700
## 441        BE20 0.24777798    1   Rarefaction       0  1.000000  0.8388872
## 442        BE20 0.63765407    9   Rarefaction       0  4.998873  3.5348617
## 443        BE20 0.72908010   17   Rarefaction       0  7.549565  5.6007875
## 444        BE20 0.78904434   25   Rarefaction       0  9.491691  7.0482811
## 445        BE20 0.83031142   33   Rarefaction       0 11.025321  8.0666241
## 446        BE20 0.85976895   41   Rarefaction       0 12.273574  8.7681636
## 447        BE20 0.88382201   50   Rarefaction       0 13.433703  9.2317641
## 448        BE20 0.89977722   58   Rarefaction       0 14.304538  9.3496075
## 449        BE20 0.91214270   66   Rarefaction       0 15.061033  9.1111613
## 450        BE20 0.92183727   74   Rarefaction       0 15.728438  8.4883687
## 451        BE20 0.92947966   82   Rarefaction       0 16.325806  7.6029723
## 452        BE20 0.93550847   90   Rarefaction       0 16.867927  6.6823115
## 453        BE20 0.94076516   99   Rarefaction       0 17.426260  5.8538557
## 454        BE20 0.94435685  107   Rarefaction       0 17.886973  5.3398964
## 455        BE20 0.94713630  115   Rarefaction       0 18.321914  5.0250582
## 456        BE20 0.94926245  123   Rarefaction       0 18.737001  4.8613120
## 457        BE20 0.95086636  131   Rarefaction       0 19.136982  4.8269348
## 458        BE20 0.95205760  139   Rarefaction       0 19.525644  4.9016672
## 459        BE20 0.95302013  148   Rarefaction       0 19.931441  5.0852316
## 460        BE20 0.95311065  149      Observed       0 20.000000  5.1278955
## 461        BE20 0.95320100  150 Extrapolation       0 20.046889  5.1539587
## 462        BE20 0.95382856  157 Extrapolation       0 20.372595  5.3179106
## 463        BE20 0.95453548  165 Extrapolation       0 20.739485  5.4990441
## 464        BE20 0.95523157  173 Extrapolation       0 21.100758  5.6760210
## 465        BE20 0.95591701  181 Extrapolation       0 21.456499  5.8491031
## 466        BE20 0.95650815  188 Extrapolation       0 21.763302  5.9975647
## 467        BE20 0.95717404  196 Extrapolation       0 22.108900  6.1640658
## 468        BE20 0.95782974  204 Extrapolation       0 22.449206  6.3274896
## 469        BE20 0.95847540  212 Extrapolation       0 22.784301  6.4881729
## 470        BE20 0.95911117  220 Extrapolation       0 23.114267  6.6466086
## 471        BE20 0.95965948  227 Extrapolation       0 23.398839  6.7809534
## 472        BE20 0.96027712  235 Extrapolation       0 23.719395  6.9390463
## 473        BE20 0.96088530  243 Extrapolation       0 24.035044  7.0923014
## 474        BE20 0.96148418  251 Extrapolation       0 24.345859  7.2419590
## 475        BE20 0.96207388  259 Extrapolation       0 24.651916  7.3889206
## 476        BE20 0.96258246  266 Extrapolation       0 24.915869  7.5154667
## 477        BE20 0.96315535  274 Extrapolation       0 25.213198  7.6579314
## 478        BE20 0.96371947  282 Extrapolation       0 25.505975  7.7983237
## 479        BE20 0.96427495  290 Extrapolation       0 25.794270  7.9369149
## 480        BE20 0.96482193  298 Extrapolation       0 26.078150  8.0740588
## 481        BE21 0.06068730    1   Rarefaction       0  1.000000  0.9345365
## 482        BE21 0.61740609   21   Rarefaction       0 13.115675 11.6468131
## 483        BE21 0.78513848   42   Rarefaction       0 19.201213 17.2997210
## 484        BE21 0.86027063   63   Rarefaction       0 22.873653 20.5606863
## 485        BE21 0.89945220   83   Rarefaction       0 25.261994 22.5077866
## 486        BE21 0.92460260  104   Rarefaction       0 27.101914 23.9141571
## 487        BE21 0.94107230  125   Rarefaction       0 28.509441 24.9656118
## 488        BE21 0.95207513  145   Rarefaction       0 29.577592 25.7610950
## 489        BE21 0.96053051  166   Rarefaction       0 30.494988 26.4413141
## 490        BE21 0.96685128  187   Rarefaction       0 31.257565 26.9916284
## 491        BE21 0.97147344  207   Rarefaction       0 31.874714 27.3943516
## 492        BE21 0.97525788  228   Rarefaction       0 32.434286 27.6202507
## 493        BE21 0.97822502  249   Rarefaction       0 32.922968 27.3380403
## 494        BE21 0.98047226  269   Rarefaction       0 33.336297 26.6334092
## 495        BE21 0.98235909  290   Rarefaction       0 33.726760 25.8780550
## 496        BE21 0.98385983  311   Rarefaction       0 34.081607 25.2038055
## 497        BE21 0.98499541  331   Rarefaction       0 34.393189 24.7022572
## 498        BE21 0.98592822  352   Rarefaction       0 34.698527 24.3224515
## 499        BE21 0.98663102  372   Rarefaction       0 34.979736 24.0943157
## 500        BE21 0.98665963  374      Observed       0 35.000000 24.0934833
## 501        BE21 0.98668818  375 Extrapolation       0 35.013340 24.0867215
## 502        BE21 0.98721918  394 Extrapolation       0 35.261452 23.9402135
## 503        BE21 0.98775527  414 Extrapolation       0 35.511937 23.7886627
## 504        BE21 0.98824370  433 Extrapolation       0 35.740160 23.6482900
## 505        BE21 0.98873682  453 Extrapolation       0 35.970566 23.5053270
## 506        BE21 0.98920924  473 Extrapolation       0 36.191308 23.3684864
## 507        BE21 0.98963968  492 Extrapolation       0 36.392431 23.2437032
## 508        BE21 0.99007424  512 Extrapolation       0 36.595478 23.1157090
## 509        BE21 0.99049057  532 Extrapolation       0 36.790008 22.9915753
## 510        BE21 0.99086990  551 Extrapolation       0 36.967249 22.8776946
## 511        BE21 0.99125286  571 Extrapolation       0 37.146186 22.7627350
## 512        BE21 0.99160178  590 Extrapolation       0 37.309219 22.6593766
## 513        BE21 0.99195403  610 Extrapolation       0 37.473812 22.5634859
## 514        BE21 0.99229152  630 Extrapolation       0 37.631501 22.4701932
## 515        BE21 0.99259901  649 Extrapolation       0 37.775175 22.3777420
## 516        BE21 0.99290944  669 Extrapolation       0 37.920223 22.2833623
## 517        BE21 0.99320685  689 Extrapolation       0 38.059188 22.1920058
## 518        BE21 0.99347782  708 Extrapolation       0 38.185802 22.1080104
## 519        BE21 0.99375139  728 Extrapolation       0 38.313627 22.0225059
## 520        BE21 0.99401349  748 Extrapolation       0 38.436091 21.9399419
## 521        BE22 0.11389760    1   Rarefaction       0  1.000000  0.9156240
## 522        BE22 0.63383206   13   Rarefaction       0  7.899470  6.7842485
## 523        BE22 0.78484421   26   Rarefaction       0 11.603773 10.1269564
## 524        BE22 0.85155042   39   Rarefaction       0 13.950398 12.2354822
## 525        BE22 0.88736372   52   Rarefaction       0 15.644976 13.7143048
## 526        BE22 0.90852845   64   Rarefaction       0 16.872635 14.7472108
## 527        BE22 0.92504806   77   Rarefaction       0 17.957382 15.6319333
## 528        BE22 0.93770177   90   Rarefaction       0 18.852568 16.3422308
## 529        BE22 0.94781145  103   Rarefaction       0 19.599491 16.9220194
## 530        BE22 0.95605909  116   Rarefaction       0 20.226704 17.4004544
## 531        BE22 0.96237501  128   Rarefaction       0 20.718152 17.7660804
## 532        BE22 0.96807363  141   Rarefaction       0 21.171920 18.0792680
## 533        BE22 0.97278365  154   Rarefaction       0 21.557731 18.2762613
## 534        BE22 0.97666412  167   Rarefaction       0 21.887441 18.1610867
## 535        BE22 0.97961802  179   Rarefaction       0 22.150670 17.8884967
## 536        BE22 0.98223039  192   Rarefaction       0 22.399347 17.5636571
## 537        BE22 0.98430687  205   Rarefaction       0 22.617351 17.2734319
## 538        BE22 0.98590600  218   Rarefaction       0 22.811278 17.0551951
## 539        BE22 0.98706897  231   Rarefaction       0 22.983640 16.9208530
## 540        BE22 0.98714318  232      Observed       0 23.000000 16.9177362
## 541        BE22 0.98721696  233 Extrapolation       0 23.012857 16.9114038
## 542        BE22 0.98807002  245 Extrapolation       0 23.161503 16.8334178
## 543        BE22 0.98886616  257 Extrapolation       0 23.300229 16.7572304
## 544        BE22 0.98960916  269 Extrapolation       0 23.429698 16.6843026
## 545        BE22 0.99030258  281 Extrapolation       0 23.550527 16.6155996
## 546        BE22 0.99094973  293 Extrapolation       0 23.663292 16.5527100
## 547        BE22 0.99155369  305 Extrapolation       0 23.768532 16.5009824
## 548        BE22 0.99216258  318 Extrapolation       0 23.874632 16.4381392
## 549        BE22 0.99268560  330 Extrapolation       0 23.965768 16.3826388
## 550        BE22 0.99317372  342 Extrapolation       0 24.050823 16.3298323
## 551        BE22 0.99362927  354 Extrapolation       0 24.130201 16.2797112
## 552        BE22 0.99405441  366 Extrapolation       0 24.204283 16.2322370
## 553        BE22 0.99445118  378 Extrapolation       0 24.273420 16.1873464
## 554        BE22 0.99485120  391 Extrapolation       0 24.343123 16.1415419
## 555        BE22 0.99519480  403 Extrapolation       0 24.402995 16.1017755
## 556        BE22 0.99551547  415 Extrapolation       0 24.458872 16.0643169
## 557        BE22 0.99581474  427 Extrapolation       0 24.511020 16.0288043
## 558        BE22 0.99609404  439 Extrapolation       0 24.559688 15.9960121
## 559        BE22 0.99635470  451 Extrapolation       0 24.605108 15.9649411
## 560        BE22 0.99661749  464 Extrapolation       0 24.650899 15.9334390
## 561        BE23 0.14398109    1   Rarefaction       0  1.000000  0.8620287
## 562        BE23 0.67438601   13   Rarefaction       0  7.303659  6.1625110
## 563        BE23 0.80211093   25   Rarefaction       0 10.396892  8.7278479
## 564        BE23 0.86004708   37   Rarefaction       0 12.413750 10.3970331
## 565        BE23 0.89180865   49   Rarefaction       0 13.902559 11.6595945
## 566        BE23 0.91378586   62   Rarefaction       0 15.168012 12.7154413
## 567        BE23 0.92844610   74   Rarefaction       0 16.118073 13.4647461
## 568        BE23 0.93994475   86   Rarefaction       0 16.910939 14.0401844
## 569        BE23 0.94924853   98   Rarefaction       0 17.578553 14.4415666
## 570        BE23 0.95743028  111   Rarefaction       0 18.187332 14.1994597
## 571        BE23 0.96355586  123   Rarefaction       0 18.663241 13.3098960
## 572        BE23 0.96853028  135   Rarefaction       0 19.072158 12.4952382
## 573        BE23 0.97251859  147   Rarefaction       0 19.426952 11.8229596
## 574        BE23 0.97565663  159   Rarefaction       0 19.738685 11.2821829
## 575        BE23 0.97822831  172   Rarefaction       0 20.038857 10.8802947
## 576        BE23 0.97993955  184   Rarefaction       0 20.290118 10.6506868
## 577        BE23 0.98109522  196   Rarefaction       0 20.523969 10.5617952
## 578        BE23 0.98175904  208   Rarefaction       0 20.746715 10.6039497
## 579        BE23 0.98198198  220   Rarefaction       0 20.968406 10.7696986
## 580        BE23 0.98203617  222      Observed       0 21.000000 10.7868145
## 581        BE23 0.98209020  223 Extrapolation       0 21.017964 10.7909305
## 582        BE23 0.98267387  234 Extrapolation       0 21.212036 10.8270683
## 583        BE23 0.98328894  246 Extrapolation       0 21.416544 10.8629474
## 584        BE23 0.98383354  257 Extrapolation       0 21.597627 10.8933514
## 585        BE23 0.98440744  269 Extrapolation       0 21.788447 10.9241135
## 586        BE23 0.98496096  281 Extrapolation       0 21.972493 10.9526541
## 587        BE23 0.98545108  292 Extrapolation       0 22.135458 10.9771008
## 588        BE23 0.98596756  304 Extrapolation       0 22.307185 11.0021550
## 589        BE23 0.98646570  316 Extrapolation       0 22.472817 11.0250953
## 590        BE23 0.98690678  327 Extrapolation       0 22.619476 11.0461537
## 591        BE23 0.98737157  339 Extrapolation       0 22.774021 11.0667838
## 592        BE23 0.98778313  350 Extrapolation       0 22.910864 11.0843744
## 593        BE23 0.98821682  362 Extrapolation       0 23.055065 11.1022506
## 594        BE23 0.98863511  374 Extrapolation       0 23.194148 11.1188801
## 595        BE23 0.98900549  385 Extrapolation       0 23.317299 11.1331245
## 596        BE23 0.98939579  397 Extrapolation       0 23.447072 11.1476750
## 597        BE23 0.98977223  409 Extrapolation       0 23.572239 11.1612902
## 598        BE23 0.99010555  420 Extrapolation       0 23.683068 11.1730324
## 599        BE23 0.99045679  432 Extrapolation       0 23.799857 11.1851282
## 600        BE23 0.99079557  444 Extrapolation       0 23.912500 11.1965833
## 601        BE24 0.32822193    1   Rarefaction       0  1.000001  0.9150583
## 602        BE24 0.76899938   18   Rarefaction       0  6.864984  5.5744838
## 603        BE24 0.85329053   35   Rarefaction       0 10.030666  8.5351149
## 604        BE24 0.89676414   52   Rarefaction       0 12.141488 10.4907151
## 605        BE24 0.92253699   69   Rarefaction       0 13.673474 11.9225875
## 606        BE24 0.94020765   87   Rarefaction       0 14.906928 13.1049182
## 607        BE24 0.95179681  104   Rarefaction       0 15.825389 14.0089541
## 608        BE24 0.96036233  121   Rarefaction       0 16.572932 14.7555745
## 609        BE24 0.96694561  138   Rarefaction       0 17.191822 15.3613554
## 610        BE24 0.97243795  156   Rarefaction       0 17.738221 15.8493062
## 611        BE24 0.97662723  173   Rarefaction       0 18.172099 16.1417326
## 612        BE24 0.98009597  190   Rarefaction       0 18.540800 16.0610150
## 613        BE24 0.98300766  207   Rarefaction       0 18.855179 15.7796381
## 614        BE24 0.98547700  224   Rarefaction       0 19.123735 15.3737821
## 615        BE24 0.98770162  242   Rarefaction       0 19.365698 14.9137444
## 616        BE24 0.98949886  259   Rarefaction       0 19.560013 14.4823674
## 617        BE24 0.99104790  276   Rarefaction       0 19.725817 14.1230106
## 618        BE24 0.99238278  293   Rarefaction       0 19.867040 13.7656663
## 619        BE24 0.99358974  310   Rarefaction       0 19.989164 13.4225486
## 620        BE24 0.99365099  312      Observed       0 20.000000 13.4104140
## 621        BE24 0.99371165  313 Extrapolation       0 20.006349 13.3933655
## 622        BE24 0.99460702  329 Extrapolation       0 20.100065 13.1351301
## 623        BE24 0.99537491  345 Extrapolation       0 20.180437 12.9090769
## 624        BE24 0.99607135  362 Extrapolation       0 20.253331 12.7006039
## 625        BE24 0.99663074  378 Extrapolation       0 20.311880 12.5308687
## 626        BE24 0.99711047  394 Extrapolation       0 20.362093 12.3838126
## 627        BE24 0.99754558  411 Extrapolation       0 20.407634 12.2495116
## 628        BE24 0.99789505  427 Extrapolation       0 20.444212 12.1410357
## 629        BE24 0.99819477  443 Extrapolation       0 20.475582 12.0475878
## 630        BE24 0.99846660  460 Extrapolation       0 20.504034 11.9625074
## 631        BE24 0.99868493  476 Extrapolation       0 20.526886 11.8939488
## 632        BE24 0.99888296  493 Extrapolation       0 20.547613 11.8315981
## 633        BE24 0.99904201  509 Extrapolation       0 20.564260 11.7814012
## 634        BE24 0.99917841  525 Extrapolation       0 20.578537 11.7382684
## 635        BE24 0.99930213  542 Extrapolation       0 20.591486 11.6990817
## 636        BE24 0.99940149  558 Extrapolation       0 20.601886 11.6675603
## 637        BE24 0.99948671  574 Extrapolation       0 20.610806 11.6404938
## 638        BE24 0.99956400  591 Extrapolation       0 20.618896 11.6159186
## 639        BE24 0.99962608  607 Extrapolation       0 20.625393 11.5961609
## 640        BE24 0.99968239  624 Extrapolation       0 20.631286 11.5782265
## 641        BE25 0.11156453    1   Rarefaction       0  1.000004  0.8824633
## 642        BE25 0.61809147   14   Rarefaction       0  8.523517  7.1051575
## 643        BE25 0.75669055   27   Rarefaction       0 12.536061 10.5749609
## 644        BE25 0.82406428   40   Rarefaction       0 15.249263 12.8937847
## 645        BE25 0.86210389   53   Rarefaction       0 17.287510 14.6354513
## 646        BE25 0.88616946   66   Rarefaction       0 18.925221 16.0421477
## 647        BE25 0.90276711   79   Rarefaction       0 20.299448 17.2283844
## 648        BE25 0.91496256   92   Rarefaction       0 21.486615 18.2544738
## 649        BE25 0.92436761  105   Rarefaction       0 22.533260 19.1549122
## 650        BE25 0.93191280  118   Rarefaction       0 23.469567 19.9501853
## 651        BE25 0.93817443  131   Rarefaction       0 24.315981 20.6522440
## 652        BE25 0.94352879  144   Rarefaction       0 25.086767 21.2664722
## 653        BE25 0.94823277  157   Rarefaction       0 25.792079 21.7891549
## 654        BE25 0.95246863  170   Rarefaction       0 26.439213 22.1784816
## 655        BE25 0.95636962  183   Rarefaction       0 27.033413 22.0729116
## 656        BE25 0.96003419  196   Rarefaction       0 27.578409 21.6081157
## 657        BE25 0.96353391  209   Rarefaction       0 28.076820 20.9366519
## 658        BE25 0.96691767  222   Rarefaction       0 28.530470 20.1042241
## 659        BE25 0.97046414  236   Rarefaction       0 28.967217 19.1118125
## 660        BE25 0.97071234  237      Observed       0 29.000000 19.0436272
## 661        BE25 0.97095845  238 Extrapolation       0 29.029288 18.9721439
## 662        BE25 0.97375538  250 Extrapolation       0 29.362122 18.1423583
## 663        BE25 0.97628294  262 Extrapolation       0 29.662902 17.4023307
## 664        BE25 0.97874718  275 Extrapolation       0 29.956147 16.6380975
## 665        BE25 0.98079400  287 Extrapolation       0 30.199717 15.9861500
## 666        BE25 0.98278953  300 Extrapolation       0 30.437187 15.3257371
## 667        BE25 0.98444704  312 Extrapolation       0 30.634429 14.7618560
## 668        BE25 0.98594491  324 Extrapolation       0 30.812676 14.2394154
## 669        BE25 0.98740526  337 Extrapolation       0 30.986458 13.7181670
## 670        BE25 0.98861823  349 Extrapolation       0 31.130801 13.2814267
## 671        BE25 0.98980081  362 Extrapolation       0 31.271529 12.8485675
## 672        BE25 0.99078308  374 Extrapolation       0 31.388418 12.4852708
## 673        BE25 0.99174073  387 Extrapolation       0 31.502379 12.1280308
## 674        BE25 0.99253616  399 Extrapolation       0 31.597035 11.8292184
## 675        BE25 0.99325499  411 Extrapolation       0 31.682576 11.5576694
## 676        BE25 0.99395581  424 Extrapolation       0 31.765973 11.2916126
## 677        BE25 0.99453791  436 Extrapolation       0 31.835243 11.0696888
## 678        BE25 0.99510543  449 Extrapolation       0 31.902778 10.8525424
## 679        BE25 0.99557682  461 Extrapolation       0 31.958873 10.6716153
## 680        BE25 0.99603639  474 Extrapolation       0 32.013563 10.4947446
## 681        BE26 0.17649032    1   Rarefaction       0  1.000011  0.8999796
## 682        BE26 0.71248632   17   Rarefaction       0  8.294866  7.1907450
## 683        BE26 0.82161090   34   Rarefaction       0 12.173888 10.7180770
## 684        BE26 0.87302787   51   Rarefaction       0 14.750612 13.0779563
## 685        BE26 0.90285857   68   Rarefaction       0 16.650579 14.8209739
## 686        BE26 0.92223509   85   Rarefaction       0 18.136340 16.1653840
## 687        BE26 0.93573896  102   Rarefaction       0 19.343969 17.2189867
## 688        BE26 0.94510913  118   Rarefaction       0 20.298432 18.0010223
## 689        BE26 0.95270880  135   Rarefaction       0 21.167954 18.6519395
## 690        BE26 0.95862308  152   Rarefaction       0 21.922608 19.1552756
## 691        BE26 0.96334193  169   Rarefaction       0 22.586843 19.5415721
## 692        BE26 0.96719787  186   Rarefaction       0 23.178151 19.8214287
## 693        BE26 0.97042646  203   Rarefaction       0 23.709207 20.0197258
## 694        BE26 0.97304684  219   Rarefaction       0 24.162274 20.1659066
## 695        BE26 0.97550935  236   Rarefaction       0 24.600382 20.1973541
## 696        BE26 0.97773520  253   Rarefaction       0 24.998639 20.1262372
## 697        BE26 0.97979580  270   Rarefaction       0 25.360463 19.9953334
## 698        BE26 0.98174177  287   Rarefaction       0 25.688233 19.8178943
## 699        BE26 0.98360656  303   Rarefaction       0 25.973329 19.5908844
## 700        BE26 0.98371370  305      Observed       0 26.000000 19.5876095
## 701        BE26 0.98382015  306 Extrapolation       0 26.016286 19.5742638
## 702        BE26 0.98543170  322 Extrapolation       0 26.262853 19.3609383
## 703        BE26 0.98688273  338 Extrapolation       0 26.484861 19.1674243
## 704        BE26 0.98818924  354 Extrapolation       0 26.684756 18.9875397
## 705        BE26 0.98936561  370 Extrapolation       0 26.864742 18.8180961
## 706        BE26 0.99042482  386 Extrapolation       0 27.026800 18.6694673
## 707        BE26 0.99137853  402 Extrapolation       0 27.172718 18.5285152
## 708        BE26 0.99223724  418 Extrapolation       0 27.304101 18.3965925
## 709        BE26 0.99301043  434 Extrapolation       0 27.422399 18.2741228
## 710        BE26 0.99370660  450 Extrapolation       0 27.528914 18.1611015
## 711        BE26 0.99433344  466 Extrapolation       0 27.624819 18.0571109
## 712        BE26 0.99489784  482 Extrapolation       0 27.711173 17.9617343
## 713        BE26 0.99540602  498 Extrapolation       0 27.788925 17.8745041
## 714        BE26 0.99586359  514 Extrapolation       0 27.858933 17.7949052
## 715        BE26 0.99627559  530 Extrapolation       0 27.921968 17.7224032
## 716        BE26 0.99664655  546 Extrapolation       0 27.978725 17.6564402
## 717        BE26 0.99698056  562 Extrapolation       0 28.029829 17.5965995
## 718        BE26 0.99728130  578 Extrapolation       0 28.075842 17.5423464
## 719        BE26 0.99755209  594 Extrapolation       0 28.117273 17.4932207
## 720        BE26 0.99779591  610 Extrapolation       0 28.154577 17.4487696
## 721        BE27 0.08308635    1   Rarefaction       0  1.000004  0.8951012
## 722        BE27 0.62880853   18   Rarefaction       0 10.875745  9.2085758
## 723        BE27 0.76764436   35   Rarefaction       0 15.893032 13.3732188
## 724        BE27 0.82946971   52   Rarefaction       0 19.289492 15.9983757
## 725        BE27 0.86321009   69   Rarefaction       0 21.893523 17.9236536
## 726        BE27 0.88522295   87   Rarefaction       0 24.154245 19.5551641
## 727        BE27 0.89941483  104   Rarefaction       0 25.985423 20.8544083
## 728        BE27 0.91002167  121   Rarefaction       0 27.606655 21.9716975
## 729        BE27 0.91842870  138   Rarefaction       0 29.066563 22.9052010
## 730        BE27 0.92575202  156   Rarefaction       0 30.470592 23.6592978
## 731        BE27 0.93160818  173   Rarefaction       0 31.684711 24.2026785
## 732        BE27 0.93667686  190   Rarefaction       0 32.805833 24.6695617
## 733        BE27 0.94110356  207   Rarefaction       0 33.846082 25.0394987
## 734        BE27 0.94498420  224   Rarefaction       0 34.815560 25.2972823
## 735        BE27 0.94857320  242   Rarefaction       0 35.774586 25.3947499
## 736        BE27 0.95152591  259   Rarefaction       0 36.624651 25.4400183
## 737        BE27 0.95409683  276   Rarefaction       0 37.427632 25.5079372
## 738        BE27 0.95632134  293   Rarefaction       0 38.189723 25.6201725
## 739        BE27 0.95833333  310   Rarefaction       0 38.917532 25.7565521
## 740        BE27 0.95843614  312      Observed       0 39.000000 25.8104617
## 741        BE27 0.95853869  313 Extrapolation       0 39.041564 25.8202808
## 742        BE27 0.96014551  329 Extrapolation       0 39.692809 25.9907661
## 743        BE27 0.96169006  345 Extrapolation       0 40.318816 26.1424441
## 744        BE27 0.96326561  362 Extrapolation       0 40.957387 26.2838586
## 745        BE27 0.96468925  378 Extrapolation       0 41.534385 26.3996841
## 746        BE27 0.96605771  394 Extrapolation       0 42.089022 26.5036450
## 747        BE27 0.96745363  411 Extrapolation       0 42.654791 26.6000500
## 748        BE27 0.96871496  427 Extrapolation       0 43.166006 26.6804018
## 749        BE27 0.96992740  443 Extrapolation       0 43.657410 26.7514555
## 750        BE27 0.97116418  460 Extrapolation       0 44.158677 26.8138872
## 751        BE27 0.97228171  476 Extrapolation       0 44.611610 26.8743362
## 752        BE27 0.97342166  493 Extrapolation       0 45.073633 26.9263278
## 753        BE27 0.97445170  509 Extrapolation       0 45.491107 26.9695586
## 754        BE27 0.97544182  525 Extrapolation       0 45.892402 27.0074941
## 755        BE27 0.97645181  542 Extrapolation       0 46.301752 27.0422945
## 756        BE27 0.97736441  558 Extrapolation       0 46.671630 27.0705071
## 757        BE27 0.97824165  574 Extrapolation       0 47.027174 27.0949415
## 758        BE27 0.97913649  591 Extrapolation       0 47.389854 27.1174088
## 759        BE27 0.97994505  607 Extrapolation       0 47.717564 27.1356798
## 760        BE27 0.98076984  624 Extrapolation       0 48.051851 27.1524238
## 761        BE28 0.07690575    1   Rarefaction       0  1.000000  0.9420803
## 762        BE28 0.59781719   15   Rarefaction       0  9.699110  8.3108869
## 763        BE28 0.76084622   30   Rarefaction       0 14.392766 12.4893601
## 764        BE28 0.83276122   45   Rarefaction       0 17.418907 15.1405170
## 765        BE28 0.87147042   59   Rarefaction       0 19.488163 16.9071008
## 766        BE28 0.89842546   74   Rarefaction       0 21.213805 18.3511819
## 767        BE28 0.91688642   89   Rarefaction       0 22.600171 19.4894653
## 768        BE28 0.93019342  104   Rarefaction       0 23.748697 20.4119407
## 769        BE28 0.93961588  118   Rarefaction       0 24.662034 21.1284469
## 770        BE28 0.94754955  133   Rarefaction       0 25.509952 21.7785992
## 771        BE28 0.95390878  148   Rarefaction       0 26.250541 22.3288058
## 772        BE28 0.95879774  162   Rarefaction       0 26.863021 22.7512496
## 773        BE28 0.96316970  177   Rarefaction       0 27.449457 23.1111651
## 774        BE28 0.96681914  192   Rarefaction       0 27.975553 23.2407340
## 775        BE28 0.96986874  207   Rarefaction       0 28.451233 23.0791646
## 776        BE28 0.97225314  221   Rarefaction       0 28.857092 22.8268713
## 777        BE28 0.97437953  236   Rarefaction       0 29.257897 22.5262584
## 778        BE28 0.97612038  251   Rarefaction       0 29.629572 22.2504733
## 779        BE28 0.97752809  265   Rarefaction       0 29.963526 22.0235959
## 780        BE28 0.97761225  267      Observed       0 30.000000 22.0243101
## 781        BE28 0.97769610  268 Extrapolation       0 30.022388 22.0149117
## 782        BE28 0.97883755  282 Extrapolation       0 30.327153 21.8447642
## 783        BE28 0.97992058  296 Extrapolation       0 30.616322 21.6709733
## 784        BE28 0.98094818  310 Extrapolation       0 30.890692 21.4970581
## 785        BE28 0.98192319  324 Extrapolation       0 31.151020 21.3250183
## 786        BE28 0.98284831  338 Extrapolation       0 31.398026 21.1553077
## 787        BE28 0.98372608  352 Extrapolation       0 31.632391 20.9891800
## 788        BE28 0.98455893  366 Extrapolation       0 31.854761 20.8276324
## 789        BE28 0.98534915  380 Extrapolation       0 32.065752 20.6713553
## 790        BE28 0.98609894  394 Extrapolation       0 32.265944 20.5200722
## 791        BE28 0.98681035  408 Extrapolation       0 32.455891 20.3739247
## 792        BE28 0.98748536  422 Extrapolation       0 32.636118 20.2330830
## 793        BE28 0.98812582  436 Extrapolation       0 32.807121 20.0976264
## 794        BE28 0.98873350  450 Extrapolation       0 32.969372 19.9668732
## 795        BE28 0.98931008  464 Extrapolation       0 33.123321 19.8428980
## 796        BE28 0.98985716  478 Extrapolation       0 33.269390 19.7235602
## 797        BE28 0.99037624  492 Extrapolation       0 33.407984 19.6094373
## 798        BE28 0.99086875  506 Extrapolation       0 33.539485 19.5003933
## 799        BE28 0.99133606  520 Extrapolation       0 33.664257 19.3962762
## 800        BE28 0.99177946  534 Extrapolation       0 33.782643 19.2969251
## 801        BE29 0.10471721    1   Rarefaction       0  1.000000  0.9062636
## 802        BE29 0.63849125   14   Rarefaction       0  8.453725  7.3888846
## 803        BE29 0.78373281   27   Rarefaction       0 12.155710 10.9787897
## 804        BE29 0.86120259   41   Rarefaction       0 14.623939 13.3243268
## 805        BE29 0.90181055   54   Rarefaction       0 16.162183 14.7469018
## 806        BE29 0.92664943   67   Rarefaction       0 17.277252 15.7476483
## 807        BE29 0.94368648   81   Rarefaction       0 18.184816 16.5363275
## 808        BE29 0.95436775   94   Rarefaction       0 18.848822 17.1015127
## 809        BE29 0.96261576  108   Rarefaction       0 19.431023 17.5939396
## 810        BE29 0.96837592  121   Rarefaction       0 19.880895 17.9645907
## 811        BE29 0.97292530  134   Rarefaction       0 20.263634 17.9784016
## 812        BE29 0.97688041  148   Rarefaction       0 20.616016 17.8444203
## 813        BE29 0.97991798  161   Rarefaction       0 20.897785 17.6735964
## 814        BE29 0.98268381  175   Rarefaction       0 21.160430 17.4566111
## 815        BE29 0.98489608  188   Rarefaction       0 21.371946 17.2561339
## 816        BE29 0.98684432  201   Rarefaction       0 21.556356 17.0501477
## 817        BE29 0.98870945  215   Rarefaction       0 21.728161 16.8300774
## 818        BE29 0.99026362  228   Rarefaction       0 21.865444 16.6272038
## 819        BE29 0.99176955  242   Rarefaction       0 21.988576 16.4090394
## 820        BE29 0.99187033  243      Observed       0 22.000000 16.3980596
## 821        BE29 0.99196988  244 Extrapolation       0 22.008130 16.3834511
## 822        BE29 0.99307350  256 Extrapolation       0 22.098259 16.2157489
## 823        BE29 0.99409861  269 Extrapolation       0 22.181976 16.0545363
## 824        BE29 0.99497200  282 Extrapolation       0 22.253303 15.9133739
## 825        BE29 0.99566303  294 Extrapolation       0 22.309737 15.7993741
## 826        BE29 0.99630489  307 Extrapolation       0 22.362156 15.6917531
## 827        BE29 0.99685176  320 Extrapolation       0 22.406817 15.5988406
## 828        BE29 0.99731769  333 Extrapolation       0 22.444868 15.5188195
## 829        BE29 0.99768634  345 Extrapolation       0 22.474974 15.4549580
## 830        BE29 0.99802876  358 Extrapolation       0 22.502938 15.3952101
## 831        BE29 0.99832050  371 Extrapolation       0 22.526764 15.3439799
## 832        BE29 0.99856906  384 Extrapolation       0 22.547063 15.3000969
## 833        BE29 0.99876572  396 Extrapolation       0 22.563124 15.2652234
## 834        BE29 0.99894839  409 Extrapolation       0 22.578042 15.2327096
## 835        BE29 0.99910403  422 Extrapolation       0 22.590752 15.2049137
## 836        BE29 0.99923663  435 Extrapolation       0 22.601581 15.1811639
## 837        BE29 0.99934154  447 Extrapolation       0 22.610149 15.1623277
## 838        BE29 0.99943899  460 Extrapolation       0 22.618108 15.1447960
## 839        BE29 0.99952202  473 Extrapolation       0 22.624888 15.1298310
## 840        BE29 0.99959276  486 Extrapolation       0 22.630665 15.1170610
## 841         BE3 0.04497226    1   Rarefaction       0  1.000000  0.9768889
## 842         BE3 0.48867636   17   Rarefaction       0 12.399452 11.2747331
## 843         BE3 0.67624361   33   Rarefaction       0 18.989246 17.4321855
## 844         BE3 0.77350764   49   Rarefaction       0 23.367749 21.4659935
## 845         BE3 0.83240496   65   Rarefaction       0 26.515116 24.3015871
## 846         BE3 0.87322655   82   Rarefaction       0 29.013963 26.5201271
## 847         BE3 0.89936903   98   Rarefaction       0 30.833873 28.1030347
## 848         BE3 0.91784320  114   Rarefaction       0 32.297182 29.3330010
## 849         BE3 0.93118731  130   Rarefaction       0 33.506063 30.3003254
## 850         BE3 0.94158892  147   Rarefaction       0 34.588195 31.1076345
## 851         BE3 0.94897040  163   Rarefaction       0 35.464881 31.6948339
## 852         BE3 0.95475163  179   Rarefaction       0 36.236231 32.1244757
## 853         BE3 0.95940849  195   Rarefaction       0 36.924029 32.3720070
## 854         BE3 0.96325862  211   Rarefaction       0 37.543707 32.3758457
## 855         BE3 0.96670337  228   Rarefaction       0 38.139947 32.0032567
## 856         BE3 0.96948973  244   Rarefaction       0 38.651286 31.5465356
## 857         BE3 0.97193655  260   Rarefaction       0 39.120701 31.0890441
## 858         BE3 0.97411467  276   Rarefaction       0 39.553061 30.6600916
## 859         BE3 0.97619048  292   Rarefaction       0 39.958056 30.2303026
## 860         BE3 0.97630600  294      Observed       0 40.000000 30.2265936
## 861         BE3 0.97642096  295 Extrapolation       0 40.023694 30.2040617
## 862         BE3 0.97807997  310 Extrapolation       0 40.365616 29.8658417
## 863         BE3 0.97962226  325 Extrapolation       0 40.683480 29.5305915
## 864         BE3 0.98114794  341 Extrapolation       0 40.997924 29.1888816
## 865         BE3 0.98247436  356 Extrapolation       0 41.271299 28.8781351
## 866         BE3 0.98378651  372 Extrapolation       0 41.541733 28.5629044
## 867         BE3 0.98492728  387 Extrapolation       0 41.776846 28.2817345
## 868         BE3 0.98598779  402 Extrapolation       0 41.995417 28.0147504
## 869         BE3 0.98703689  418 Extrapolation       0 42.211636 27.7457987
## 870         BE3 0.98794897  433 Extrapolation       0 42.399615 27.5083789
## 871         BE3 0.98885123  449 Extrapolation       0 42.585572 27.2704641
## 872         BE3 0.98963565  464 Extrapolation       0 42.747241 27.0613060
## 873         BE3 0.99041163  480 Extrapolation       0 42.907170 26.8524100
## 874         BE3 0.99108626  495 Extrapolation       0 43.046212 26.6692851
## 875         BE3 0.99171343  510 Extrapolation       0 43.175471 26.4978380
## 876         BE3 0.99233385  526 Extrapolation       0 43.303339 26.3271342
## 877         BE3 0.99287323  541 Extrapolation       0 43.414507 26.1778608
## 878         BE3 0.99340682  557 Extrapolation       0 43.524478 26.0294388
## 879         BE3 0.99387071  572 Extrapolation       0 43.620086 25.8998702
## 880         BE3 0.99432961  588 Extrapolation       0 43.714666 25.7712338
## 881        BE30 0.13675934    1   Rarefaction       0  1.000017  0.8745635
## 882        BE30 0.69084723   15   Rarefaction       0  8.070299  6.7304078
## 883        BE30 0.81206004   30   Rarefaction       0 11.723176  9.6594589
## 884        BE30 0.86776595   45   Rarefaction       0 14.106033 11.3673687
## 885        BE30 0.89591355   59   Rarefaction       0 15.756408 12.3553259
## 886        BE30 0.91348925   74   Rarefaction       0 17.183197 13.0838854
## 887        BE30 0.92418871   89   Rarefaction       0 18.399835 13.6678023
## 888        BE30 0.93076970  103   Rarefaction       0 19.415609 14.1479419
## 889        BE30 0.93575362  118   Rarefaction       0 20.417180 14.6248085
## 890        BE30 0.93949814  133   Rarefaction       0 21.353510 15.0872522
## 891        BE30 0.94233593  147   Rarefaction       0 22.181531 15.5139758
## 892        BE30 0.94495353  162   Rarefaction       0 23.027748 15.9635671
## 893        BE30 0.94729956  177   Rarefaction       0 23.836757 16.3945671
## 894        BE30 0.94932979  191   Rarefaction       0 24.561220 16.7649518
## 895        BE30 0.95138528  206   Rarefaction       0 25.306752 17.1263547
## 896        BE30 0.95334522  221   Rarefaction       0 26.022146 17.4510324
## 897        BE30 0.95510129  235   Rarefaction       0 26.663822 17.7121129
## 898        BE30 0.95691039  250   Rarefaction       0 27.324547 17.9332925
## 899        BE30 0.95864662  264   Rarefaction       0 27.935277 18.0932105
## 900        BE30 0.95875980  266      Observed       0 28.000000 18.1269363
## 901        BE30 0.95887267  267 Extrapolation       0 28.041240 18.1327146
## 902        BE30 0.96031218  280 Extrapolation       0 28.567203 18.2330738
## 903        BE30 0.96180613  294 Extrapolation       0 29.113055 18.3113610
## 904        BE30 0.96324385  308 Extrapolation       0 29.638360 18.3643475
## 905        BE30 0.96462744  322 Extrapolation       0 30.143891 18.3840386
## 906        BE30 0.96595896  336 Extrapolation       0 30.630393 18.3785678
## 907        BE30 0.96724035  350 Extrapolation       0 31.098582 18.3531812
## 908        BE30 0.96847351  364 Extrapolation       0 31.549146 18.3082651
## 909        BE30 0.96966024  378 Extrapolation       0 31.982751 18.2472873
## 910        BE30 0.97080231  392 Extrapolation       0 32.400033 18.1733761
## 911        BE30 0.97190138  406 Extrapolation       0 32.801608 18.0896592
## 912        BE30 0.97295909  420 Extrapolation       0 33.188066 17.9986917
## 913        BE30 0.97397698  434 Extrapolation       0 33.559977 17.9025474
## 914        BE30 0.97495655  448 Extrapolation       0 33.917889 17.8031236
## 915        BE30 0.97589925  462 Extrapolation       0 34.262327 17.7018283
## 916        BE30 0.97680646  476 Extrapolation       0 34.593801 17.5997866
## 917        BE30 0.97767953  490 Extrapolation       0 34.912796 17.4979011
## 918        BE30 0.97851973  504 Extrapolation       0 35.219784 17.3963152
## 919        BE30 0.97932830  518 Extrapolation       0 35.515216 17.2958280
## 920        BE30 0.98010643  532 Extrapolation       0 35.799528 17.1977316
## 921         BE4 0.06215005    1   Rarefaction       0  1.000000  0.9532782
## 922         BE4 0.67668576   23   Rarefaction       0 13.387599 11.9518856
## 923         BE4 0.83245343   46   Rarefaction       0 18.785703 16.8899040
## 924         BE4 0.89425700   69   Rarefaction       0 21.872317 19.8091728
## 925         BE4 0.92632697   92   Rarefaction       0 23.916708 21.7519658
## 926         BE4 0.94533766  115   Rarefaction       0 25.384883 23.0550568
## 927         BE4 0.95755552  138   Rarefaction       0 26.498154 23.8839496
## 928         BE4 0.96584106  161   Rarefaction       0 27.377437 24.3400434
## 929         BE4 0.97167392  184   Rarefaction       0 28.095194 24.4773164
## 930         BE4 0.97589497  207   Rarefaction       0 28.697752 24.2719570
## 931         BE4 0.97901707  230   Rarefaction       0 29.216085 23.8189374
## 932         BE4 0.98136906  253   Rarefaction       0 29.671586 23.3376806
## 933         BE4 0.98316847  276   Rarefaction       0 30.079406 22.9096234
## 934         BE4 0.98456145  299   Rarefaction       0 30.450540 22.5620257
## 935         BE4 0.98564665  322   Rarefaction       0 30.793173 22.3657666
## 936         BE4 0.98649055  345   Rarefaction       0 31.113604 22.2231704
## 937         BE4 0.98713778  368   Rarefaction       0 31.416859 22.1600189
## 938         BE4 0.98761825  391   Rarefaction       0 31.707107 22.1746760
## 939         BE4 0.98795181  413   Rarefaction       0 31.977116 22.2524574
## 940         BE4 0.98796344  415      Observed       0 32.000000 22.2685390
## 941         BE4 0.98797506  416 Extrapolation       0 32.012037 22.2738333
## 942         BE4 0.98821647  437 Extrapolation       0 32.262138 22.3860504
## 943         BE4 0.98846418  459 Extrapolation       0 32.518765 22.4984016
## 944         BE4 0.98870668  481 Extrapolation       0 32.769997 22.6068905
## 945         BE4 0.98894408  503 Extrapolation       0 33.015949 22.7118018
## 946         BE4 0.98916604  524 Extrapolation       0 33.245895 22.8088583
## 947         BE4 0.98939379  546 Extrapolation       0 33.481842 22.9075616
## 948         BE4 0.98961675  568 Extrapolation       0 33.712829 23.0034900
## 949         BE4 0.98983502  590 Extrapolation       0 33.938960 23.0969204
## 950         BE4 0.99004871  612 Extrapolation       0 34.160338 23.1881387
## 951         BE4 0.99024849  633 Extrapolation       0 34.367310 23.2733885
## 952         BE4 0.99045348  655 Extrapolation       0 34.579683 23.3608495
## 953         BE4 0.99065416  677 Extrapolation       0 34.787592 23.4458290
## 954         BE4 0.99085063  699 Extrapolation       0 34.991130 23.5283463
## 955         BE4 0.99104296  721 Extrapolation       0 35.190389 23.6085369
## 956         BE4 0.99122278  742 Extrapolation       0 35.376682 23.6830345
## 957         BE4 0.99140729  764 Extrapolation       0 35.567836 23.7590534
## 958         BE4 0.99158793  786 Extrapolation       0 35.754972 23.8331205
## 959         BE4 0.99176476  808 Extrapolation       0 35.938174 23.9053538
## 960         BE4 0.99193788  830 Extrapolation       0 36.117525 23.9758763
## 961         BE5 0.35176229    1   Rarefaction       0  1.000010  0.8469394
## 962         BE5 0.70561256   11   Rarefaction       0  4.931668  3.3862818
## 963         BE5 0.78940782   22   Rarefaction       0  7.721932  6.1594396
## 964         BE5 0.84680118   33   Rarefaction       0  9.731950  8.0594240
## 965         BE5 0.88639406   44   Rarefaction       0 11.206001  9.3961275
## 966         BE5 0.91396158   55   Rarefaction       0 12.308908 10.3593796
## 967         BE5 0.93336106   66   Rarefaction       0 13.152247 11.0614851
## 968         BE5 0.94715820   77   Rarefaction       0 13.812090 11.5741564
## 969         BE5 0.95706396   88   Rarefaction       0 14.340881 11.9408112
## 970         BE5 0.96423172   99   Rarefaction       0 14.775257 12.1679937
## 971         BE5 0.96945379  110   Rarefaction       0 15.141114 12.0662201
## 972         BE5 0.97328841  121   Rarefaction       0 15.456892 11.5140205
## 973         BE5 0.97613936  132   Rarefaction       0 15.735721 11.1702961
## 974         BE5 0.97830520  143   Rarefaction       0 15.986848 10.9252988
## 975         BE5 0.98000924  154   Rarefaction       0 16.216635 10.7627231
## 976         BE5 0.98141829  165   Rarefaction       0 16.429282 10.6386075
## 977         BE5 0.98265471  176   Rarefaction       0 16.627386 10.5406592
## 978         BE5 0.98380479  187   Rarefaction       0 16.812386 10.4502421
## 979         BE5 0.98492462  197   Rarefaction       0 16.974141 10.3465868
## 980         BE5 0.98502546  199      Observed       0 17.000000 10.3488716
## 981         BE5 0.98512563  200 Extrapolation       0 17.014975 10.3401456
## 982         BE5 0.98609115  210 Extrapolation       0 17.159320 10.2521452
## 983         BE5 0.98699399  220 Extrapolation       0 17.294296 10.1690023
## 984         BE5 0.98791959  231 Extrapolation       0 17.432672 10.0836136
## 985         BE5 0.98870375  241 Extrapolation       0 17.549904 10.0120864
## 986         BE5 0.98950766  252 Extrapolation       0 17.670089  9.9415719
## 987         BE5 0.99018874  262 Extrapolation       0 17.771910  9.8926004
## 988         BE5 0.99082560  272 Extrapolation       0 17.867121  9.8296084
## 989         BE5 0.99147851  283 Extrapolation       0 17.964731  9.7638170
## 990         BE5 0.99203166  293 Extrapolation       0 18.047426  9.7071119
## 991         BE5 0.99259874  304 Extrapolation       0 18.132205  9.6480424
## 992         BE5 0.99307917  314 Extrapolation       0 18.204029  9.5972490
## 993         BE5 0.99357170  325 Extrapolation       0 18.277662  9.5444544
## 994         BE5 0.99398897  335 Extrapolation       0 18.340044  9.4991542
## 995         BE5 0.99437916  345 Extrapolation       0 18.398377  9.4563313
## 996         BE5 0.99477917  356 Extrapolation       0 18.458180  9.4119483
## 997         BE5 0.99511806  366 Extrapolation       0 18.508844  9.3735154
## 998         BE5 0.99546549  377 Extrapolation       0 18.560785  9.3351350
## 999         BE5 0.99575984  387 Extrapolation       0 18.604789  9.3018993
## 1000        BE5 0.99606159  398 Extrapolation       0 18.649902  9.2676593
## 1001        BE6 0.16285967    1   Rarefaction       0  1.000012  0.8146293
## 1002        BE6 0.62516067   12   Rarefaction       0  6.975708  5.4194834
## 1003        BE6 0.74446801   23   Rarefaction       0 10.431181  8.3523929
## 1004        BE6 0.81486411   35   Rarefaction       0 13.070097 10.4285012
## 1005        BE6 0.85340244   46   Rarefaction       0 14.898257 11.7199339
## 1006        BE6 0.88068502   58   Rarefaction       0 16.496120 12.7435933
## 1007        BE6 0.89790083   69   Rarefaction       0 17.717361 13.4493662
## 1008        BE6 0.91153340   81   Rarefaction       0 18.863366 14.0329745
## 1009        BE6 0.92098748   92   Rarefaction       0 19.787110 14.4393648
## 1010        BE6 0.92910660  104   Rarefaction       0 20.688741 14.7813076
## 1011        BE6 0.93515474  115   Rarefaction       0 21.437317 15.0288439
## 1012        BE6 0.94024272  126   Rarefaction       0 22.124425 15.2230618
## 1013        BE6 0.94496635  138   Rarefaction       0 22.814778 15.3533606
## 1014        BE6 0.94869527  149   Rarefaction       0 23.401035 15.4076267
## 1015        BE6 0.95221972  161   Rarefaction       0 23.996785 15.4469385
## 1016        BE6 0.95501692  172   Rarefaction       0 24.508026 15.4888879
## 1017        BE6 0.95764300  184   Rarefaction       0 25.032957 15.5525000
## 1018        BE6 0.95968731  195   Rarefaction       0 25.488356 15.6361326
## 1019        BE6 0.96153846  207   Rarefaction       0 25.960598 15.7648204
## 1020        BE6 0.96167731  208      Observed       0 26.000000 15.7783609
## 1021        BE6 0.96181566  209 Extrapolation       0 26.038323 15.7914529
## 1022        BE6 0.96317198  219 Extrapolation       0 26.414022 15.9139358
## 1023        BE6 0.96460835  230 Extrapolation       0 26.811897 16.0447176
## 1024        BE6 0.96598870  241 Extrapolation       0 27.194253 16.1760791
## 1025        BE6 0.96731521  252 Extrapolation       0 27.561697 16.3138820
## 1026        BE6 0.96858998  263 Extrapolation       0 27.914810 16.4428116
## 1027        BE6 0.96981504  274 Extrapolation       0 28.254150 16.5641558
## 1028        BE6 0.97099232  285 Extrapolation       0 28.580256 16.6819193
## 1029        BE6 0.97212368  296 Extrapolation       0 28.893643 16.7970653
## 1030        BE6 0.97321091  307 Extrapolation       0 29.194807 16.9013013
## 1031        BE6 0.97416246  317 Extrapolation       0 29.458387 16.9875442
## 1032        BE6 0.97517018  328 Extrapolation       0 29.737525 17.0739441
## 1033        BE6 0.97613860  339 Extrapolation       0 30.005776 17.1448265
## 1034        BE6 0.97706924  350 Extrapolation       0 30.263565 17.2230204
## 1035        BE6 0.97796359  361 Extrapolation       0 30.511299 17.2869452
## 1036        BE6 0.97882306  372 Extrapolation       0 30.749371 17.3447497
## 1037        BE6 0.97964900  383 Extrapolation       0 30.978158 17.3970651
## 1038        BE6 0.98044273  394 Extrapolation       0 31.198021 17.4444496
## 1039        BE6 0.98120551  405 Extrapolation       0 31.409310 17.4874402
## 1040        BE6 0.98193853  416 Extrapolation       0 31.612358 17.5265155
## 1041        BE7 0.28952439    1   Rarefaction       0  1.000012  0.9269682
## 1042        BE7 0.83973677   30   Rarefaction       0  9.448939  8.2141711
## 1043        BE7 0.90966916   60   Rarefaction       0 13.036943 11.2198657
## 1044        BE7 0.93536280   90   Rarefaction       0 15.324703 12.9418007
## 1045        BE7 0.94870255  120   Rarefaction       0 17.052653 14.1818594
## 1046        BE7 0.95704294  150   Rarefaction       0 18.462130 15.1872937
## 1047        BE7 0.96277406  180   Rarefaction       0 19.662845 16.0505547
## 1048        BE7 0.96693917  210   Rarefaction       0 20.716161 16.8189131
## 1049        BE7 0.97010412  240   Rarefaction       0 21.660100 17.5190890
## 1050        BE7 0.97261278  270   Rarefaction       0 22.519277 18.1655366
## 1051        BE7 0.97461947  299   Rarefaction       0 23.284602 18.7461744
## 1052        BE7 0.97639921  329   Rarefaction       0 24.019588 19.3033750
## 1053        BE7 0.97796738  359   Rarefaction       0 24.704430 19.8138947
## 1054        BE7 0.97938288  389   Rarefaction       0 25.344558 20.2667274
## 1055        BE7 0.98068457  419   Rarefaction       0 25.943951 20.6295471
## 1056        BE7 0.98189892  449   Rarefaction       0 26.505614 20.8258460
## 1057        BE7 0.98304485  479   Rarefaction       0 27.031879 20.8795347
## 1058        BE7 0.98413657  509   Rarefaction       0 27.524583 20.8077967
## 1059        BE7 0.98518519  539   Rarefaction       0 27.984049 20.6760608
## 1060        BE7 0.98521946  540      Observed       0 28.000000 20.6709022
## 1061        BE7 0.98525366  541 Extrapolation       0 28.014781 20.6657284
## 1062        BE7 0.98617975  569 Extrapolation       0 28.415036 20.5165566
## 1063        BE7 0.98704768  597 Extrapolation       0 28.790155 20.3709368
## 1064        BE7 0.98788919  626 Extrapolation       0 29.153854 20.2209221
## 1065        BE7 0.98864976  654 Extrapolation       0 29.482575 20.0650839
## 1066        BE7 0.98936257  682 Extrapolation       0 29.790651 19.9103691
## 1067        BE7 0.99005368  711 Extrapolation       0 30.089348 19.7380888
## 1068        BE7 0.99067832  739 Extrapolation       0 30.359318 19.5641068
## 1069        BE7 0.99126373  767 Extrapolation       0 30.612334 19.3868048
## 1070        BE7 0.99183133  796 Extrapolation       0 30.857647 19.2027857
## 1071        BE7 0.99234433  824 Extrapolation       0 31.079367 19.0273022
## 1072        BE7 0.99284172  853 Extrapolation       0 31.294337 18.8498629
## 1073        BE7 0.99329126  881 Extrapolation       0 31.488633 18.6845107
## 1074        BE7 0.99371258  909 Extrapolation       0 31.670726 18.5262750
## 1075        BE7 0.99412107  938 Extrapolation       0 31.847276 18.3711179
## 1076        BE7 0.99449028  966 Extrapolation       0 32.006846 18.2308725
## 1077        BE7 0.99483629  994 Extrapolation       0 32.156394 18.0978543
## 1078        BE7 0.99517178 1023 Extrapolation       0 32.301391 17.9661550
## 1079        BE7 0.99547500 1051 Extrapolation       0 32.432442 17.8449188
## 1080        BE7 0.99576898 1080 Extrapolation       0 32.559503 17.7254647
## 1081        BE8 0.13857829    1   Rarefaction       0  1.000001  0.8595628
## 1082        BE8 0.60221071   13   Rarefaction       0  7.833930  6.6681922
## 1083        BE8 0.73498327   25   Rarefaction       0 11.798526 10.4779455
## 1084        BE8 0.81267269   37   Rarefaction       0 14.514180 13.0895507
## 1085        BE8 0.86197643   49   Rarefaction       0 16.470223 14.9651763
## 1086        BE8 0.89495371   61   Rarefaction       0 17.932719 16.3432264
## 1087        BE8 0.91789047   73   Rarefaction       0 19.059252 17.3650185
## 1088        BE8 0.93433021   85   Rarefaction       0 19.948933 18.1248657
## 1089        BE8 0.94640008   97   Rarefaction       0 20.667020 18.6934633
## 1090        BE8 0.95544358  109   Rarefaction       0 21.257979 19.1225253
## 1091        BE8 0.96234670  121   Rarefaction       0 21.752903 19.4395826
## 1092        BE8 0.96771483  133   Rarefaction       0 22.173932 19.6389839
## 1093        BE8 0.97197212  145   Rarefaction       0 22.537003 19.7375099
## 1094        BE8 0.97541998  157   Rarefaction       0 22.853691 19.8010222
## 1095        BE8 0.97827310  169   Rarefaction       0 23.132453 19.7983919
## 1096        BE8 0.98068353  181   Rarefaction       0 23.379539 19.7456574
## 1097        BE8 0.98275793  193   Rarefaction       0 23.599635 19.6694418
## 1098        BE8 0.98457089  205   Rarefaction       0 23.796339 19.5883755
## 1099        BE8 0.98630137  218   Rarefaction       0 23.982210 19.5042812
## 1100        BE8 0.98642590  219      Observed       0 24.000000 19.5059024
## 1101        BE8 0.98654930  220 Extrapolation       0 24.013574 19.5005319
## 1102        BE8 0.98783487  231 Extrapolation       0 24.154987 19.4411955
## 1103        BE8 0.98899757  242 Extrapolation       0 24.282883 19.3797967
## 1104        BE8 0.99013960  254 Extrapolation       0 24.408507 19.3154697
## 1105        BE8 0.99108202  265 Extrapolation       0 24.512173 19.2703000
## 1106        BE8 0.99200769  277 Extrapolation       0 24.613997 19.2103841
## 1107        BE8 0.99277157  288 Extrapolation       0 24.698023 19.1572662
## 1108        BE8 0.99352187  300 Extrapolation       0 24.780556 19.1020527
## 1109        BE8 0.99414102  311 Extrapolation       0 24.848663 19.0543247
## 1110        BE8 0.99474918  323 Extrapolation       0 24.915560 19.0056214
## 1111        BE8 0.99525103  334 Extrapolation       0 24.970764 18.9640808
## 1112        BE8 0.99574397  346 Extrapolation       0 25.024987 18.9222603
## 1113        BE8 0.99615074  357 Extrapolation       0 25.069732 18.8870132
## 1114        BE8 0.99655029  369 Extrapolation       0 25.113682 18.8517902
## 1115        BE8 0.99688000  380 Extrapolation       0 25.149951 18.8222881
## 1116        BE8 0.99720385  392 Extrapolation       0 25.185574 18.7929350
## 1117        BE8 0.99747110  403 Extrapolation       0 25.214971 18.7684402
## 1118        BE8 0.99773359  415 Extrapolation       0 25.243846 18.7441449
## 1119        BE8 0.99795021  426 Extrapolation       0 25.267673 18.7239234
## 1120        BE8 0.99816297  438 Extrapolation       0 25.291078 18.7039100
## 1121        BE9 0.06994467    1   Rarefaction       0  1.000000  0.9488156
## 1122        BE9 0.61280390   18   Rarefaction       0 11.347823 10.2529429
## 1123        BE9 0.77559174   35   Rarefaction       0 16.420867 14.7652299
## 1124        BE9 0.84858099   52   Rarefaction       0 19.580956 17.3323295
## 1125        BE9 0.88763739   69   Rarefaction       0 21.812286 18.9531980
## 1126        BE9 0.91132824   86   Rarefaction       0 23.518079 20.0056762
## 1127        BE9 0.92712485  103   Rarefaction       0 24.890987 20.6813559
## 1128        BE9 0.93838890  120   Rarefaction       0 26.034800 21.0709966
## 1129        BE9 0.94677883  137   Rarefaction       0 27.011773 21.2111385
## 1130        BE9 0.95352031  155   Rarefaction       0 27.909686 21.1663269
## 1131        BE9 0.95842169  172   Rarefaction       0 28.658911 20.9540001
## 1132        BE9 0.96225640  189   Rarefaction       0 29.333756 20.6507595
## 1133        BE9 0.96527460  206   Rarefaction       0 29.950244 20.3440656
## 1134        BE9 0.96766469  223   Rarefaction       0 30.520681 20.0479685
## 1135        BE9 0.96957087  240   Rarefaction       0 31.054533 19.8292897
## 1136        BE9 0.97110286  257   Rarefaction       0 31.559108 19.7056012
## 1137        BE9 0.97234201  274   Rarefaction       0 32.040079 19.6564634
## 1138        BE9 0.97334585  291   Rarefaction       0 32.501934 19.6729735
## 1139        BE9 0.97419355  309   Rarefaction       0 32.970210 19.7596223
## 1140        BE9 0.97423524  310      Observed       0 33.000000 19.7707198
## 1141        BE9 0.97427686  311 Extrapolation       0 33.025765 19.7778237
## 1142        BE9 0.97493376  327 Extrapolation       0 33.432386 19.8864154
## 1143        BE9 0.97557389  343 Extrapolation       0 33.828623 19.9878169
## 1144        BE9 0.97619766  359 Extrapolation       0 34.214741 20.0845897
## 1145        BE9 0.97684298  376 Extrapolation       0 34.614193 20.1831946
## 1146        BE9 0.97743435  392 Extrapolation       0 34.980249 20.2660828
## 1147        BE9 0.97801062  408 Extrapolation       0 35.336958 20.3495747
## 1148        BE9 0.97857217  424 Extrapolation       0 35.684557 20.4222841
## 1149        BE9 0.97915311  441 Extrapolation       0 36.044160 20.4933055
## 1150        BE9 0.97968548  457 Extrapolation       0 36.373700 20.5554125
## 1151        BE9 0.98020426  473 Extrapolation       0 36.694823 20.6143411
## 1152        BE9 0.98070979  489 Extrapolation       0 37.007746 20.6719575
## 1153        BE9 0.98123278  506 Extrapolation       0 37.331476 20.7337388
## 1154        BE9 0.98171204  522 Extrapolation       0 37.628140 20.7864654
## 1155        BE9 0.98217907  538 Extrapolation       0 37.917229 20.8357556
## 1156        BE9 0.98263416  554 Extrapolation       0 38.198935 20.8824453
## 1157        BE9 0.98310498  571 Extrapolation       0 38.490369 20.9302063
## 1158        BE9 0.98353643  587 Extrapolation       0 38.757439 20.9740625
## 1159        BE9 0.98395687  603 Extrapolation       0 39.017688 21.0132256
## 1160        BE9 0.98439182  620 Extrapolation       0 39.286925 21.0574675
##         qD.UCL
## 1     1.121356
## 2     6.144064
## 3     8.506870
## 4     9.956988
## 5    11.116428
## 6    12.067937
## 7    12.854478
## 8    13.625844
## 9    14.295171
## 10   15.004435
## 11   15.730079
## 12   16.377132
## 13   17.035642
## 14   17.619521
## 15   18.216783
## 16   18.798617
## 17   19.335616
## 18   19.887518
## 19   20.401076
## 20   20.447503
## 21   20.483972
## 22   20.936655
## 23   21.394393
## 24   21.815578
## 25   22.186512
## 26   22.553347
## 27   22.896582
## 28   23.218579
## 29   23.520915
## 30   23.804322
## 31   24.050499
## 32   24.298009
## 33   24.528235
## 34   24.742176
## 35   24.940807
## 36   25.125072
## 37   25.295872
## 38   25.454048
## 39   25.600400
## 40   25.735954
## 41    1.154492
## 42   13.560378
## 43   19.043496
## 44   22.597193
## 45   25.021328
## 46   26.925600
## 47   28.576487
## 48   29.943915
## 49   31.211363
## 50   32.310576
## 51   33.323518
## 52   34.330375
## 53   35.438213
## 54   36.563552
## 55   37.541120
## 56   38.409580
## 57   39.228908
## 58   39.942682
## 59   40.620995
## 60   40.658691
## 61   40.686247
## 62   41.291274
## 63   41.885877
## 64   42.468330
## 65   43.037193
## 66   43.615946
## 67   44.153960
## 68   44.677549
## 69   45.186606
## 70   45.681083
## 71   46.182366
## 72   46.646463
## 73   47.094553
## 74   47.529269
## 75   47.951296
## 76   48.379054
## 77   48.775466
## 78   49.159522
## 79   49.531271
## 80   49.906650
## 81    1.100558
## 82    8.422897
## 83   12.242488
## 84   14.511357
## 85   16.325899
## 86   17.621727
## 87   18.756064
## 88   19.601821
## 89   20.357826
## 90   20.924906
## 91   21.429865
## 92   21.811885
## 93   22.189523
## 94   22.580576
## 95   23.131310
## 96   23.602534
## 97   24.086108
## 98   24.492745
## 99   24.894933
## 100  24.927288
## 101  24.959735
## 102  25.266012
## 103  25.562117
## 104  25.819189
## 105  26.041340
## 106  26.232779
## 107  26.397505
## 108  26.539037
## 109  26.660508
## 110  26.764673
## 111  26.853937
## 112  26.930392
## 113  26.995846
## 114  27.051865
## 115  27.099791
## 116  27.140787
## 117  27.175845
## 118  27.205822
## 119  27.231450
## 120  27.253358
## 121   1.056465
## 122  14.032291
## 123  20.544634
## 124  24.982611
## 125  28.117887
## 126  30.677814
## 127  32.987358
## 128  34.921944
## 129  36.775456
## 130  38.401985
## 131  39.936494
## 132  41.486215
## 133  42.920379
## 134  44.451230
## 135  45.881846
## 136  47.267021
## 137  48.699031
## 138  50.016760
## 139  51.482855
## 140  51.578824
## 141  51.661723
## 142  53.069376
## 143  54.499775
## 144  56.002734
## 145  57.392021
## 146  58.817890
## 147  60.115201
## 148  61.431047
## 149  62.622569
## 150  63.829447
## 151  64.917272
## 152  66.014545
## 153  67.000698
## 154  67.993445
## 155  68.884068
## 156  69.779083
## 157  70.580889
## 158  71.385867
## 159  72.106409
## 160  72.829234
## 161   1.089519
## 162  14.930075
## 163  22.310536
## 164  27.194545
## 165  30.684928
## 166  33.659184
## 167  36.190362
## 168  38.326435
## 169  40.367798
## 170  42.235755
## 171  43.874664
## 172  45.480742
## 173  46.987019
## 174  48.345480
## 175  49.725026
## 176  51.092858
## 177  52.412627
## 178  53.809839
## 179  55.170889
## 180  55.265341
## 181  55.334235
## 182  56.555006
## 183  57.797549
## 184  58.987275
## 185  60.069428
## 186  61.157541
## 187  62.214776
## 188  63.188113
## 189  64.179773
## 190  65.131683
## 191  66.001683
## 192  66.885759
## 193  67.733832
## 194  68.504183
## 195  69.282877
## 196  70.027647
## 197  70.702454
## 198  71.383202
## 199  72.032305
## 200  72.650870
## 201   1.023340
## 202   8.987878
## 203  15.563006
## 204  20.096919
## 205  24.203903
## 206  27.563176
## 207  30.084959
## 208  32.529121
## 209  34.439241
## 210  36.378254
## 211  38.176974
## 212  39.736395
## 213  41.619345
## 214  43.524897
## 215  45.905965
## 216  48.278850
## 217  50.263424
## 218  52.313346
## 219  54.240810
## 220  54.480653
## 221  54.698279
## 222  56.409605
## 223  58.086181
## 224  59.708019
## 225  61.266704
## 226  62.937994
## 227  64.357771
## 228  65.715367
## 229  67.013976
## 230  68.253946
## 231  69.580845
## 232  70.704677
## 233  71.768104
## 234  72.782674
## 235  73.749012
## 236  74.774294
## 237  75.638436
## 238  76.458588
## 239  77.236745
## 240  78.064407
## 241   1.098878
## 242  11.092473
## 243  15.596553
## 244  18.438709
## 245  20.403696
## 246  21.921379
## 247  23.038696
## 248  23.947649
## 249  24.721978
## 250  25.457789
## 251  26.115300
## 252  26.760400
## 253  27.383335
## 254  27.973432
## 255  28.594464
## 256  29.129645
## 257  29.621879
## 258  30.077157
## 259  30.510254
## 260  30.536193
## 261  30.557776
## 262  30.928900
## 263  31.272088
## 264  31.585471
## 265  31.871338
## 266  32.138117
## 267  32.382137
## 268  32.604768
## 269  32.818098
## 270  33.001011
## 271  33.165939
## 272  33.314990
## 273  33.461522
## 274  33.586944
## 275  33.700511
## 276  33.803292
## 277  33.901170
## 278  33.984696
## 279  34.060287
## 280  34.132203
## 281   1.040981
## 282  10.408673
## 283  16.492461
## 284  20.250540
## 285  23.234453
## 286  25.314319
## 287  27.091891
## 288  28.393147
## 289  29.546363
## 290  30.412870
## 291  31.191630
## 292  31.782737
## 293  32.331631
## 294  33.016971
## 295  34.116521
## 296  35.198436
## 297  36.315489
## 298  37.213151
## 299  38.047220
## 300  38.110155
## 301  38.167789
## 302  38.601224
## 303  38.869355
## 304  39.014850
## 305  39.093586
## 306  39.136134
## 307  39.159110
## 308  39.171515
## 309  39.178210
## 310  39.181822
## 311  39.183772
## 312  39.184824
## 313  39.185391
## 314  39.185697
## 315  39.185863
## 316  39.185952
## 317  39.186000
## 318  39.186026
## 319  39.186040
## 320  39.186047
## 321   1.115456
## 322  14.046526
## 323  21.115034
## 324  26.445385
## 325  30.455767
## 326  33.998311
## 327  36.960761
## 328  39.774372
## 329  42.254443
## 330  44.745089
## 331  47.143406
## 332  49.726161
## 333  52.559341
## 334  55.042122
## 335  57.362872
## 336  59.327248
## 337  61.176209
## 338  62.779941
## 339  64.293176
## 340  64.403609
## 341  64.475046
## 342  65.805049
## 343  67.095625
## 344  68.410887
## 345  69.624262
## 346  70.856716
## 347  71.993834
## 348  73.096611
## 349  74.223882
## 350  75.263329
## 351  76.325237
## 352  77.304001
## 353  78.303172
## 354  79.223312
## 355  80.115695
## 356  81.026073
## 357  81.864687
## 358  82.720317
## 359  83.507997
## 360  84.312015
## 361   1.128597
## 362  13.740921
## 363  20.259551
## 364  24.704162
## 365  27.969423
## 366  30.464959
## 367  32.430370
## 368  34.025257
## 369  35.351652
## 370  36.468501
## 371  37.412788
## 372  38.214284
## 373  38.904841
## 374  39.553211
## 375  40.510269
## 376  41.500357
## 377  42.374644
## 378  43.095870
## 379  43.660701
## 380  43.693593
## 381  43.718747
## 382  44.153742
## 383  44.563065
## 384  44.946330
## 385  45.303866
## 386  45.637999
## 387  45.950078
## 388  46.241166
## 389  46.512376
## 390  46.764822
## 391  47.012052
## 392  47.229171
## 393  47.430745
## 394  47.617800
## 395  47.791312
## 396  47.952206
## 397  48.101356
## 398  48.239582
## 399  48.367655
## 400  48.492625
## 401   1.055585
## 402  14.466011
## 403  19.445839
## 404  22.367654
## 405  24.428794
## 406  26.047131
## 407  27.404554
## 408  28.580169
## 409  29.612684
## 410  30.527885
## 411  31.346947
## 412  32.087909
## 413  32.766336
## 414  33.396891
## 415  33.997927
## 416  34.618538
## 417  35.376233
## 418  36.185428
## 419  36.998010
## 420  37.043910
## 421  37.078280
## 422  37.837291
## 423  38.600178
## 424  39.327904
## 425  40.006149
## 426  40.608778
## 427  41.198724
## 428  41.744270
## 429  42.245381
## 430  42.703683
## 431  43.104254
## 432  43.486138
## 433  43.832687
## 434  44.146592
## 435  44.430491
## 436  44.676244
## 437  44.908242
## 438  45.113610
## 439  45.305014
## 440  45.477667
## 441   1.161113
## 442   6.462885
## 443   9.498342
## 444  11.935101
## 445  13.984018
## 446  15.778984
## 447  17.635643
## 448  19.259468
## 449  21.010905
## 450  22.968508
## 451  25.048640
## 452  27.053542
## 453  28.998664
## 454  30.434050
## 455  31.618770
## 456  32.612689
## 457  33.447029
## 458  34.149621
## 459  34.777651
## 460  34.872104
## 461  34.939820
## 462  35.427279
## 463  35.979926
## 464  36.525494
## 465  37.063895
## 466  37.529039
## 467  38.053733
## 468  38.570922
## 469  39.080430
## 470  39.581924
## 471  40.016725
## 472  40.499744
## 473  40.977786
## 474  41.449759
## 475  41.914911
## 476  42.316271
## 477  42.768465
## 478  43.213627
## 479  43.651625
## 480  44.082242
## 481   1.065464
## 482  14.584537
## 483  21.102706
## 484  25.186620
## 485  28.016201
## 486  30.289670
## 487  32.053270
## 488  33.394088
## 489  34.548661
## 490  35.523501
## 491  36.355077
## 492  37.248322
## 493  38.507895
## 494  40.039184
## 495  41.575465
## 496  42.959409
## 497  44.084121
## 498  45.074603
## 499  45.865156
## 500  45.906517
## 501  45.939959
## 502  46.582690
## 503  47.235212
## 504  47.832030
## 505  48.435805
## 506  49.014129
## 507  49.541158
## 508  50.075247
## 509  50.588441
## 510  51.056803
## 511  51.529636
## 512  51.959061
## 513  52.384137
## 514  52.792808
## 515  53.172608
## 516  53.557085
## 517  53.926370
## 518  54.263593
## 519  54.604748
## 520  54.932239
## 521   1.084376
## 522   9.014692
## 523  13.080589
## 524  15.665313
## 525  17.575648
## 526  18.998060
## 527  20.282831
## 528  21.362904
## 529  22.276962
## 530  23.052954
## 531  23.670223
## 532  24.264573
## 533  24.839200
## 534  25.613794
## 535  26.412843
## 536  27.235036
## 537  27.961270
## 538  28.567361
## 539  29.046426
## 540  29.082264
## 541  29.114310
## 542  29.489588
## 543  29.843228
## 544  30.175093
## 545  30.485454
## 546  30.773874
## 547  31.036082
## 548  31.311124
## 549  31.548898
## 550  31.771813
## 551  31.980692
## 552  32.176329
## 553  32.359494
## 554  32.544704
## 555  32.704214
## 556  32.853427
## 557  32.993235
## 558  33.123363
## 559  33.245274
## 560  33.368358
## 561   1.137971
## 562   8.444807
## 563  12.065935
## 564  14.430467
## 565  16.145523
## 566  17.620583
## 567  18.771399
## 568  19.781694
## 569  20.715539
## 570  22.175205
## 571  24.016586
## 572  25.649077
## 573  27.030943
## 574  28.195187
## 575  29.197420
## 576  29.929549
## 577  30.486143
## 578  30.889480
## 579  31.167114
## 580  31.213186
## 581  31.244997
## 582  31.597003
## 583  31.970141
## 584  32.301902
## 585  32.652780
## 586  32.992333
## 587  33.293814
## 588  33.612216
## 589  33.920539
## 590  34.192798
## 591  34.481259
## 592  34.737353
## 593  35.007880
## 594  35.269416
## 595  35.501473
## 596  35.746469
## 597  35.983187
## 598  36.193103
## 599  36.414585
## 600  36.628416
## 601   1.084944
## 602   8.155484
## 603  11.526218
## 604  13.792261
## 605  15.424361
## 606  16.708938
## 607  17.641824
## 608  18.390289
## 609  19.022289
## 610  19.627136
## 611  20.202466
## 612  21.020584
## 613  21.930719
## 614  22.873687
## 615  23.817652
## 616  24.637659
## 617  25.328623
## 618  25.968414
## 619  26.555779
## 620  26.589586
## 621  26.619332
## 622  27.064999
## 623  27.451797
## 624  27.806059
## 625  28.092892
## 626  28.340373
## 627  28.565756
## 628  28.747388
## 629  28.903577
## 630  29.045560
## 631  29.159824
## 632  29.263627
## 633  29.347119
## 634  29.418806
## 635  29.483890
## 636  29.536212
## 637  29.581118
## 638  29.621873
## 639  29.654626
## 640  29.684347
## 641   1.117545
## 642   9.941876
## 643  14.497161
## 644  17.604742
## 645  19.939568
## 646  21.808294
## 647  23.370513
## 648  24.718757
## 649  25.911609
## 650  26.988949
## 651  27.979718
## 652  28.907062
## 653  29.795004
## 654  30.699944
## 655  31.993914
## 656  33.548703
## 657  35.216987
## 658  36.956717
## 659  38.822621
## 660  38.956373
## 661  39.086431
## 662  40.581886
## 663  41.923473
## 664  43.274196
## 665  44.413285
## 666  45.548636
## 667  46.507003
## 668  47.385937
## 669  48.254748
## 670  48.980176
## 671  49.694491
## 672  50.291565
## 673  50.876727
## 674  51.364852
## 675  51.807482
## 676  52.240334
## 677  52.600798
## 678  52.953014
## 679  53.246131
## 680  53.532381
## 681   1.100043
## 682   9.398988
## 683  13.629699
## 684  16.423267
## 685  18.480183
## 686  20.107296
## 687  21.468951
## 688  22.595841
## 689  23.683968
## 690  24.689941
## 691  25.632114
## 692  26.534874
## 693  27.398689
## 694  28.158640
## 695  29.003411
## 696  29.871041
## 697  30.725592
## 698  31.558571
## 699  32.355774
## 700  32.412390
## 701  32.458309
## 702  33.164767
## 703  33.802297
## 704  34.381973
## 705  34.911387
## 706  35.384133
## 707  35.816920
## 708  36.211610
## 709  36.570675
## 710  36.896726
## 711  37.192528
## 712  37.460611
## 713  37.703346
## 714  37.922961
## 715  38.121533
## 716  38.301010
## 717  38.463058
## 718  38.609338
## 719  38.741325
## 720  38.860384
## 721   1.104907
## 722  12.542914
## 723  18.412844
## 724  22.580608
## 725  25.863392
## 726  28.753326
## 727  31.116437
## 728  33.241612
## 729  35.227926
## 730  37.281886
## 731  39.166744
## 732  40.942104
## 733  42.652665
## 734  44.333837
## 735  46.154422
## 736  47.809284
## 737  49.347326
## 738  50.759273
## 739  52.078511
## 740  52.189538
## 741  52.262847
## 742  53.394853
## 743  54.495188
## 744  55.630915
## 745  56.669086
## 746  57.674399
## 747  58.709532
## 748  59.651611
## 749  60.563365
## 750  61.503466
## 751  62.348883
## 752  63.220939
## 753  64.012656
## 754  64.777311
## 755  65.561209
## 756  66.272754
## 757  66.959407
## 758  67.662300
## 759  68.299448
## 760  68.951278
## 761   1.057920
## 762  11.087333
## 763  16.296172
## 764  19.697297
## 765  22.069225
## 766  24.076427
## 767  25.710876
## 768  27.085453
## 769  28.195621
## 770  29.241304
## 771  30.172277
## 772  30.974793
## 773  31.787750
## 774  32.710372
## 775  33.823302
## 776  34.887312
## 777  35.989535
## 778  37.008671
## 779  37.903457
## 780  37.975690
## 781  38.029864
## 782  38.809542
## 783  39.561671
## 784  40.284325
## 785  40.977022
## 786  41.640744
## 787  42.275601
## 788  42.881890
## 789  43.460148
## 790  44.011816
## 791  44.537858
## 792  45.039153
## 793  45.516615
## 794  45.971872
## 795  46.403743
## 796  46.815220
## 797  47.206531
## 798  47.578577
## 799  47.932237
## 800  48.268361
## 801   1.093736
## 802   9.518565
## 803  13.332631
## 804  15.923552
## 805  17.577464
## 806  18.806855
## 807  19.833304
## 808  20.596131
## 809  21.268107
## 810  21.797198
## 811  22.548867
## 812  23.387612
## 813  24.121973
## 814  24.864249
## 815  25.487757
## 816  26.062564
## 817  26.626244
## 818  27.103683
## 819  27.568112
## 820  27.601940
## 821  27.632808
## 822  27.980770
## 823  28.309416
## 824  28.593233
## 825  28.820101
## 826  29.032559
## 827  29.214793
## 828  29.370917
## 829  29.494990
## 830  29.610666
## 831  29.709547
## 832  29.794029
## 833  29.861024
## 834  29.923374
## 835  29.976591
## 836  30.021999
## 837  30.057971
## 838  30.091419
## 839  30.119946
## 840  30.144270
## 841   1.023111
## 842  13.524171
## 843  20.546306
## 844  25.269504
## 845  28.728644
## 846  31.507798
## 847  33.564711
## 848  35.261362
## 849  36.711800
## 850  38.068756
## 851  39.234929
## 852  40.347986
## 853  41.476050
## 854  42.711569
## 855  44.276636
## 856  45.756036
## 857  47.152358
## 858  48.446030
## 859  49.685809
## 860  49.773406
## 861  49.843326
## 862  50.865390
## 863  51.836369
## 864  52.806966
## 865  53.664464
## 866  54.520561
## 867  55.271958
## 868  55.976084
## 869  56.677473
## 870  57.290852
## 871  57.900679
## 872  58.433176
## 873  58.961931
## 874  59.423140
## 875  59.853105
## 876  60.279544
## 877  60.651153
## 878  61.019517
## 879  61.340303
## 880  61.658098
## 881   1.125470
## 882   9.410191
## 883  13.786894
## 884  16.844698
## 885  19.157490
## 886  21.282509
## 887  23.131867
## 888  24.683276
## 889  26.209551
## 890  27.619769
## 891  28.849086
## 892  30.091928
## 893  31.278946
## 894  32.357487
## 895  33.487149
## 896  34.593259
## 897  35.615531
## 898  36.715802
## 899  37.777343
## 900  37.873064
## 901  37.949766
## 902  38.901333
## 903  39.914750
## 904  40.912373
## 905  41.903744
## 906  42.882218
## 907  43.843982
## 908  44.790027
## 909  45.718214
## 910  46.626690
## 911  47.513556
## 912  48.377440
## 913  49.217407
## 914  50.032654
## 915  50.822827
## 916  51.587815
## 917  52.327692
## 918  53.043253
## 919  53.734605
## 920  54.401324
## 921   1.046722
## 922  14.823313
## 923  20.681503
## 924  23.935462
## 925  26.081450
## 926  27.714710
## 927  29.112359
## 928  30.414830
## 929  31.713071
## 930  33.123548
## 931  34.613233
## 932  36.005491
## 933  37.249189
## 934  38.339054
## 935  39.220579
## 936  40.004038
## 937  40.673698
## 938  41.239538
## 939  41.701774
## 940  41.731461
## 941  41.750240
## 942  42.138225
## 943  42.539128
## 944  42.933104
## 945  43.320095
## 946  43.682932
## 947  44.056123
## 948  44.422168
## 949  44.781001
## 950  45.132537
## 951  45.461232
## 952  45.798517
## 953  46.129355
## 954  46.453913
## 955  46.772241
## 956  47.070330
## 957  47.376619
## 958  47.676824
## 959  47.970994
## 960  48.259173
## 961   1.153081
## 962   6.477054
## 963   9.284425
## 964  11.404476
## 965  13.015874
## 966  14.258436
## 967  15.243009
## 968  16.050024
## 969  16.740951
## 970  17.382521
## 971  18.216007
## 972  19.399764
## 973  20.301146
## 974  21.048398
## 975  21.670547
## 976  22.219957
## 977  22.714114
## 978  23.174531
## 979  23.601695
## 980  23.651128
## 981  23.689803
## 982  24.066495
## 983  24.419589
## 984  24.781730
## 985  25.087721
## 986  25.398606
## 987  25.651219
## 988  25.904634
## 989  26.165646
## 990  26.387741
## 991  26.616367
## 992  26.810808
## 993  27.010870
## 994  27.180935
## 995  27.340423
## 996  27.504411
## 997  27.644173
## 998  27.786435
## 999  27.907679
## 1000 28.032145
## 1001  1.185395
## 1002  8.531932
## 1003 12.509968
## 1004 15.711692
## 1005 18.076580
## 1006 20.248646
## 1007 21.985355
## 1008 23.693758
## 1009 25.134856
## 1010 26.596175
## 1011 27.845791
## 1012 29.025788
## 1013 30.276196
## 1014 31.394444
## 1015 32.546632
## 1016 33.527165
## 1017 34.513414
## 1018 35.340580
## 1019 36.156375
## 1020 36.221639
## 1021 36.285192
## 1022 36.914109
## 1023 37.579076
## 1024 38.212427
## 1025 38.809512
## 1026 39.386808
## 1027 39.944145
## 1028 40.478593
## 1029 40.990220
## 1030 41.488312
## 1031 41.929230
## 1032 42.401106
## 1033 42.866726
## 1034 43.304109
## 1035 43.735653
## 1036 44.153992
## 1037 44.559251
## 1038 44.951593
## 1039 45.331180
## 1040 45.698200
## 1041  1.073055
## 1042 10.683707
## 1043 14.854020
## 1044 17.707606
## 1045 19.923446
## 1046 21.736966
## 1047 23.275135
## 1048 24.613409
## 1049 25.801111
## 1050 26.873017
## 1051 27.823029
## 1052 28.735800
## 1053 29.594964
## 1054 30.422388
## 1055 31.258354
## 1056 32.185382
## 1057 33.184223
## 1058 34.241370
## 1059 35.292038
## 1060 35.329098
## 1061 35.363833
## 1062 36.313515
## 1063 37.209373
## 1064 38.086787
## 1065 38.900065
## 1066 39.670932
## 1067 40.440608
## 1068 41.154530
## 1069 41.837863
## 1070 42.512509
## 1071 43.131432
## 1072 43.738812
## 1073 44.292754
## 1074 44.815176
## 1075 45.323434
## 1076 45.782819
## 1077 46.214935
## 1078 46.636626
## 1079 47.019964
## 1080 47.393542
## 1081  1.140439
## 1082  8.999668
## 1083 13.119106
## 1084 15.938808
## 1085 17.975269
## 1086 19.522211
## 1087 20.753486
## 1088 21.773001
## 1089 22.640577
## 1090 23.393432
## 1091 24.066224
## 1092 24.708879
## 1093 25.336496
## 1094 25.906360
## 1095 26.466515
## 1096 27.013420
## 1097 27.529829
## 1098 28.004303
## 1099 28.460138
## 1100 28.494098
## 1101 28.526616
## 1102 28.868778
## 1103 29.185970
## 1104 29.501544
## 1105 29.754046
## 1106 30.017610
## 1107 30.238780
## 1108 30.459060
## 1109 30.643002
## 1110 30.825499
## 1111 30.977447
## 1112 31.127713
## 1113 31.252451
## 1114 31.375575
## 1115 31.477613
## 1116 31.578213
## 1117 31.661502
## 1118 31.743547
## 1119 31.811423
## 1120 31.878245
## 1121  1.051184
## 1122 12.442703
## 1123 18.076504
## 1124 21.829583
## 1125 24.671373
## 1126 27.030481
## 1127 29.100619
## 1128 30.998603
## 1129 32.812408
## 1130 34.653046
## 1131 36.363823
## 1132 38.016752
## 1133 39.556422
## 1134 40.993393
## 1135 42.279776
## 1136 43.412614
## 1137 44.423695
## 1138 45.330894
## 1139 46.180798
## 1140 46.229280
## 1141 46.273706
## 1142 46.978356
## 1143 47.669428
## 1144 48.344891
## 1145 49.045191
## 1146 49.694416
## 1147 50.324341
## 1148 50.946831
## 1149 51.595015
## 1150 52.191987
## 1151 52.775305
## 1152 53.343535
## 1153 53.929213
## 1154 54.469815
## 1155 54.998702
## 1156 55.515425
## 1157 56.050532
## 1158 56.540816
## 1159 57.022151
## 1160 57.516383
# show asymptotic estimates
birds_inext$AsyEst
##    Assemblage         Diversity  Observed Estimator       s.e.       LCL
## 1        BE10  Species richness 15.000000 17.656604  5.0965926 15.000000
## 2        BE10 Shannon diversity  4.477834  4.637426  0.3703539  3.911546
## 3        BE10 Simpson diversity  2.522903  2.537541  0.2099865  2.125975
## 4        BE11  Species richness 32.000000 40.978723 10.9456903 32.000000
## 5        BE11 Shannon diversity 15.106089 15.873309  1.1321513 13.654333
## 6        BE11 Simpson diversity  8.586257  8.743437  1.0000788  6.783318
## 7        BE12  Species richness 21.000000 21.663477  3.6242919 21.000000
## 8        BE12 Shannon diversity 12.056420 12.708104  0.8672522 11.008321
## 9        BE12 Simpson diversity  8.084583  8.369657  0.8285440  6.745741
## 10       BE13  Species richness 42.000000 54.035178 11.9328953 42.000000
## 11       BE13 Shannon diversity 23.597320 25.773235  1.5909033 22.655122
## 12       BE13 Simpson diversity 17.905539 18.866212  1.3406508 16.238584
## 13       BE14  Species richness 46.000000 59.960674 12.9789630 46.000000
## 14       BE14 Shannon diversity 24.539775 26.883599  1.5929810 23.761413
## 15       BE14 Simpson diversity 16.693361 17.465451  1.4675458 14.589114
## 16       BE15  Species richness 41.000000 52.994540  9.4081329 41.000000
## 17       BE15 Shannon diversity 29.495851 35.477035  2.5618146 30.455970
## 18       BE15 Simpson diversity 23.275732 27.152993  2.0901834 23.056309
## 19       BE16  Species richness 25.000000 26.495690  4.3007068 25.000000
## 20       BE16 Shannon diversity 12.284503 12.775183  0.7784021 11.249543
## 21       BE16 Simpson diversity  7.426959  7.567114  0.7108710  6.173832
## 22       BE17  Species richness 31.000000 31.082935  5.0094682 31.000000
## 23       BE17 Shannon diversity 22.478066 24.240311  1.1655589 21.955858
## 24       BE17 Simpson diversity 17.691778 19.235398  1.4454356 16.402396
## 25       BE18  Species richness 47.000000 72.530811 19.0260611 47.000000
## 26       BE18 Shannon diversity 19.613692 21.717714  1.5634466 18.653415
## 27       BE18 Simpson diversity 10.576329 10.858120  0.9939219  8.910069
## 28       BE19  Species richness 37.000000 39.658937  5.8308866 37.000000
## 29       BE19 Shannon diversity 18.348002 19.482358  1.3704414 16.796342
## 30       BE19 Simpson diversity  9.926195 10.190623  1.0176296  8.196106
## 31        BE2  Species richness 32.000000 34.993088  7.0031376 32.000000
## 32        BE2 Shannon diversity 17.622988 18.391735  0.8519057 16.722030
## 33        BE2 Simpson diversity 13.375657 13.769197  0.7968789 12.207343
## 34       BE20  Species richness 20.000000 44.335570 17.6275515 20.000000
## 35       BE20 Shannon diversity  7.779758  8.839153  1.2375113  6.413675
## 36       BE20 Simpson diversity  3.955282  4.035871  0.5569077  2.944352
## 37       BE21  Species richness 35.000000 41.233289 10.1207419 35.000000
## 38       BE21 Shannon diversity 21.832030 23.108387  1.1842440 20.787312
## 39       BE21 Simpson diversity 15.823077 16.477912  1.2512069 14.025591
## 40       BE22  Species richness 23.000000 25.240302  3.9724913 23.000000
## 41       BE22 Shannon diversity 12.812872 13.553146  0.9651100 11.661565
## 42       BE22 Simpson diversity  8.494949  8.779817  0.9255680  6.965737
## 43       BE23  Species richness 21.000000 26.972973  7.4237047 21.000000
## 44       BE23 Shannon diversity 10.713187 11.393252  0.8416252  9.743697
## 45       BE23 Simpson diversity  6.764205  6.945357  0.7589168  5.457907
## 46       BE24  Species richness 20.000000 20.664530  3.7904139 20.000000
## 47       BE24 Shannon diversity  6.195198  6.407189  0.4942756  5.438427
## 48       BE24 Simpson diversity  3.026866  3.046722  0.2542535  2.548394
## 49       BE25  Species richness 29.000000 32.485232  9.3232774 29.000000
## 50       BE25 Shannon diversity 14.251109 15.343542  1.1229295 13.142641
## 51       BE25 Simpson diversity  8.672070  8.963462  1.0536635  6.898319
## 52       BE26  Species richness 26.000000 28.491803  6.7900095 26.000000
## 53       BE26 Shannon diversity 10.380759 10.906455  0.6723559  9.588661
## 54       BE26 Simpson diversity  5.580719  5.666096  0.4738070  4.737452
## 55       BE27  Species richness 39.000000 55.845833 11.5972124 39.000000
## 56       BE27 Shannon diversity 18.343938 20.174817  1.3572352 17.514685
## 57       BE27 Simpson diversity 11.624552 12.035723  1.0755860  9.927613
## 58       BE28  Species richness 30.000000 35.977528  7.5851618 30.000000
## 59       BE28 Shannon diversity 17.374372 18.650980  1.0965206 16.501839
## 60       BE28 Simpson diversity 12.443533 13.002929  1.0531699 10.938754
## 61       BE29  Species richness 22.000000 22.663923  3.0196310 22.000000
## 62       BE29 Shannon diversity 13.352550 13.998786  0.8492535 12.334279
## 63       BE29 Simpson diversity  9.224965  9.549529  0.9415791  7.704068
## 64        BE3  Species richness 40.000000 44.883333  7.3966963 40.000000
## 65        BE3 Shannon diversity 27.001927 29.282369  1.3112371 26.712392
## 66        BE3 Simpson diversity 20.738004 22.235932  1.4185505 19.455624
## 67       BE30  Species richness 28.000000 43.068139 17.6369228 28.000000
## 68       BE30 Shannon diversity 11.649885 12.687302  1.0661545 10.597678
## 69       BE30 Simpson diversity  7.142742  7.312241  0.7710955  5.800921
## 70        BE4  Species richness 32.000000 44.469880 11.1148353 32.000000
## 71        BE4 Shannon diversity 20.152640 21.220586  0.8002981 19.652031
## 72        BE4 Simpson diversity 15.525557 16.090092  0.8017451 14.518700
## 73        BE5  Species richness 17.000000 19.238693  5.3496250 17.000000
## 74        BE5 Shannon diversity  5.737908  6.031244  0.6534910  4.750425
## 75        BE5 Simpson diversity  2.816772  2.842857  0.2863269  2.281667
## 76        BE6  Species richness 26.000000 36.615385 17.0130650 26.000000
## 77        BE6 Shannon diversity 11.169507 12.249531  1.1972403  9.902983
## 78        BE6 Simpson diversity  5.992244  6.140331  0.7714799  4.628258
## 79        BE7  Species richness 28.000000 34.388148 13.0114490 28.000000
## 80        BE7 Shannon diversity  7.029619  7.275117  0.5209073  6.254157
## 81        BE7 Simpson diversity  3.438355  3.453980  0.2608700  2.942684
## 82        BE8  Species richness 24.000000 25.493151  3.8146585 24.000000
## 83        BE8 Shannon diversity 12.662098 13.446817  1.0081297 11.470919
## 84        BE8 Simpson diversity  7.016971  7.216143  0.8413585  5.567110
## 85        BE9  Species richness 33.000000 48.948387 14.2034058 33.000000
## 86        BE9 Shannon diversity 19.238117 20.809633  1.1592900 18.537467
## 87        BE9 Simpson diversity 13.708987 14.297015  1.1398782 12.062895
##           UCL
## 1   27.645742
## 2    5.363306
## 3    2.949107
## 4   62.431882
## 5   18.092284
## 6   10.703555
## 7   28.766959
## 8   14.407887
## 9    9.993574
## 10  77.423223
## 11  28.891348
## 12  21.493839
## 13  85.398974
## 14  30.005784
## 15  20.341787
## 16  71.434142
## 17  40.498099
## 18  31.249678
## 19  34.924920
## 20  14.300824
## 21   8.960395
## 22  40.901312
## 23  26.524765
## 24  22.068400
## 25 109.821205
## 26  24.782012
## 27  12.806171
## 28  51.087265
## 29  22.168373
## 30  12.185141
## 31  48.718985
## 32  20.061439
## 33  15.331051
## 34  78.884936
## 35  11.264631
## 36   5.127390
## 37  61.069578
## 38  25.429463
## 39  18.930232
## 40  33.026242
## 41  15.444727
## 42  10.593896
## 43  41.523167
## 44  13.042807
## 45   8.432806
## 46  28.093605
## 47   7.375952
## 48   3.545050
## 49  50.758520
## 50  17.544444
## 51  11.028604
## 52  41.799977
## 53  12.224248
## 54   6.594741
## 55  78.575952
## 56  22.834949
## 57  14.143833
## 58  50.844172
## 59  20.800121
## 60  15.067104
## 61  28.582291
## 62  15.663292
## 63  11.394990
## 64  59.380592
## 65  31.852347
## 66  25.016240
## 67  77.635872
## 68  14.776927
## 69   8.823560
## 70  66.254556
## 71  22.789142
## 72  17.661483
## 73  29.723766
## 74   7.312063
## 75   3.404048
## 76  69.960379
## 77  14.596079
## 78   7.652404
## 79  59.890120
## 80   8.296076
## 81   3.965276
## 82  32.969744
## 83  15.422715
## 84   8.865175
## 85  76.786551
## 86  23.081800
## 87  16.531135
### a little workaround to create 29 colours and dot types ####
library(scico)
library(paletteer)
paletteer::paletteer_c("scico::berlin", 29)
## <colors>
## #9EB0FFFF #89ADF4FF #73A9EAFF #5CA4DCFF #4799C9FF #3889B2FF #2F789CFF #286886FF #225771FF #1C475CFF #153748FF #122935FF #0F1C24FF #111216FF #180B09FF #220C01FF #2C0E00FF #381000FF #461300FF #561A05FF #68240FFF #7B321CFF #8E422EFF #A05342FF #B36556FF #C5766BFF #D88881FF #EB9A96FF #FFACACFF
my_palette_inext <- paletteer::paletteer_c("scico::berlin", 29)
# Species accumulation curves
ggiNEXT(birds_inext, type=1, facet.var="None") + # not all plots sampled equally
scale_color_manual(values = my_palette_inext) +
  scale_fill_manual(values = my_palette_inext) +
  scale_shape_manual(values = seq(1:29))

# get minimum number of individuals from data 
min_abund <- min(birds_inext$DataInfo$n)
bird_data2 <- as.data.frame(bird_data)
str(bird_data2)
## 'data.frame':    70 obs. of  29 variables:
##  $ BE10: int  0 0 0 0 0 0 0 15 0 0 ...
##  $ BE11: int  0 0 0 0 1 0 0 21 0 0 ...
##  $ BE12: int  0 0 0 0 0 0 0 4 0 0 ...
##  $ BE13: int  0 3 0 4 2 0 0 0 1 0 ...
##  $ BE14: int  0 0 0 0 2 2 11 0 1 1 ...
##  $ BE15: int  0 2 5 5 0 9 1 0 0 1 ...
##  $ BE16: int  0 0 0 0 0 0 0 0 0 0 ...
##  $ BE17: int  0 0 3 0 0 21 0 0 0 3 ...
##  $ BE18: int  1 0 4 0 2 1 0 3 0 1 ...
##  $ BE19: int  0 0 0 2 0 0 0 12 0 0 ...
##  $ BE2 : int  2 0 0 0 1 0 0 0 0 0 ...
##  $ BE20: int  0 0 0 0 0 0 0 4 0 0 ...
##  $ BE21: int  1 0 0 1 2 0 0 3 0 0 ...
##  $ BE22: int  0 0 0 0 1 0 0 5 0 0 ...
##  $ BE23: int  0 0 0 0 0 0 0 5 0 0 ...
##  $ BE24: int  0 0 0 0 0 0 0 0 0 0 ...
##  $ BE25: int  0 0 0 0 3 0 0 12 0 0 ...
##  $ BE26: int  0 0 0 0 1 0 0 0 0 0 ...
##  $ BE27: int  0 0 0 0 1 0 0 19 0 3 ...
##  $ BE28: int  0 0 0 1 0 0 0 0 1 0 ...
##  $ BE29: int  0 0 0 0 0 0 0 0 0 0 ...
##  $ BE3 : int  0 2 0 0 0 0 1 0 0 0 ...
##  $ BE30: int  0 0 0 0 1 1 0 0 0 0 ...
##  $ BE4 : int  0 0 0 0 4 0 0 0 0 0 ...
##  $ BE5 : int  0 0 0 0 0 0 0 5 0 0 ...
##  $ BE6 : int  0 0 0 0 0 0 0 2 0 0 ...
##  $ BE7 : int  0 0 0 0 0 0 0 37 0 0 ...
##  $ BE8 : int  0 0 0 0 0 0 0 0 0 0 ...
##  $ BE9 : int  0 0 0 3 0 0 0 0 0 0 ...
# use 2x minimum number of individuals for rarefaction/extrapolation
birds_estINEXTsize <- estimateD(bird_data, q = 0, datatype = "abundance", base = "size", level = (min_abund * 2),
          conf = 0.95)

birds_estINEXTsize
##    Assemblage   m        Method Order.q        SC       qD   qD.LCL   qD.UCL
## 1        BE10 298 Extrapolation       0 0.9875504 15.45303 12.59417 18.31189
## 2        BE11 298   Rarefaction       0 0.9812052 29.99164 26.80061 33.18266
## 3        BE12 298 Extrapolation       0 0.9973627 21.47799 18.67330 24.28267
## 4        BE13 298   Rarefaction       0 0.9563662 40.55495 35.52242 45.58749
## 5        BE14 298   Rarefaction       0 0.9539804 43.52956 39.04928 48.00983
## 6        BE15 298 Extrapolation       0 0.9688270 48.44774 40.27615 56.61934
## 7        BE16 298   Rarefaction       0 0.9888200 24.50655 22.36736 26.64574
## 8        BE17 298 Extrapolation       0 0.9999693 31.08237 28.41920 33.74554
## 9        BE18 298   Rarefaction       0 0.9498872 43.66224 37.91330 49.41119
## 10       BE19 298   Rarefaction       0 0.9846972 36.37941 33.31520 39.44361
## 11        BE2 298   Rarefaction       0 0.9765820 29.49552 26.86230 32.12875
## 12       BE20 298 Extrapolation       0 0.9648219 26.07815 17.32827 34.82803
## 13       BE21 298   Rarefaction       0 0.9829719 33.86571 30.36580 37.36562
## 14       BE22 298 Extrapolation       0 0.9912065 23.70803 19.91153 27.50452
## 15       BE23 298 Extrapolation       0 0.9857117 22.22210 18.03177 26.41242
## 16       BE24 298   Rarefaction       0 0.9927384 19.90441 17.56169 22.24713
## 17       BE25 298 Extrapolation       0 0.9824966 30.40233 26.30990 34.49475
## 18       BE26 298   Rarefaction       0 0.9829562 25.88297 23.29899 28.46696
## 19       BE27 298   Rarefaction       0 0.9569143 38.40692 32.91373 43.90011
## 20       BE28 298 Extrapolation       0 0.9800707 30.65641 26.80945 34.50336
## 21       BE29 298 Extrapolation       0 0.9958716 22.32677 20.00876 24.64478
## 22        BE3 298 Extrapolation       0 0.9767625 40.09409 35.95499 44.23319
## 23       BE30 298 Extrapolation       0 0.9622226 29.26520 24.72996 33.80045
## 24        BE4 298   Rarefaction       0 0.9845079 30.43505 27.16713 33.70297
## 25        BE5 298 Extrapolation       0 0.9922946 18.08674 14.79923 21.37424
## 26        BE6 298 Extrapolation       0 0.9723246 28.94929 22.16312 35.73547
## 27        BE7 298   Rarefaction       0 0.9745556 23.25916 20.42447 26.09384
## 28        BE8 298 Extrapolation       0 0.9934025 24.76742 22.06523 27.46961
## 29        BE9 298   Rarefaction       0 0.9737002 32.68743 28.11107 37.26379
# extract species richness 
birds_est_sprich <- as.data.frame(cbind(site = colnames(bird_data),
                                        sp_rich = birds_estINEXTsize$qD))

birds_est_sprich
##    site          sp_rich
## 1  BE10 15.4530328501637
## 2  BE11 29.9916380379789
## 3  BE12 21.4779853454816
## 4  BE13 40.5549538797391
## 5  BE14 43.5295555469924
## 6  BE15 48.4477427535246
## 7  BE16 24.5065491505327
## 8  BE17 31.0823712907411
## 9  BE18 43.6622413155036
## 10 BE19 36.3794068650737
## 11  BE2 29.4955218592629
## 12 BE20 26.0781501489565
## 13 BE21 33.8657074731005
## 14 BE22 23.7080269811234
## 15 BE23 22.2220973005055
## 16 BE24 19.9044088258824
## 17 BE25 30.4023268778697
## 18 BE26 25.8829734412778
## 19 BE27 38.4069200309924
## 20 BE28 30.6564055680879
## 21 BE29 22.3267691780308
## 22  BE3 40.0940884455696
## 23 BE30 29.2652048160577
## 24  BE4 30.4350475265505
## 25  BE5 18.0867385837243
## 26  BE6  28.949294781448
## 27  BE7 23.2591575105719
## 28  BE8 24.7674210668556
## 29  BE9 32.6874308792799

Statistics!!

Question: Does urbanization have an effect on bird diversity?

We are going to run a model with the number of species as response and urbanization variables as explanatory variables.

Load environmental data

env_cov <- read.csv(here("data","data_berlin","animal_data",
                         "birds_transects_allenvir_100m.csv") )
head(env_cov)
##   site                                 patch.lu   patch.area    pop_100m
## 1 BE10                      park and green area    4762.0000 240.2320426
## 2 BE11                      park and green area   22107.5781  41.9517209
## 3 BE12                      park and green area     623.8551  64.4663933
## 4 BE13                      park and green area  700876.6900   0.2617629
## 5 BE14 brownfield with meadow, shrubs and trees 1119275.5140   0.1640317
## 6 BE15                                 farmland  754802.5036   0.2794827
##   distance_water impervious_surface    light    noise  open_green temp_cooldown
## 1      887.99534       85.708155200 254.0484 52.66811 0.003755813    -0.4034781
## 2      182.70408       48.086350720 253.5432 61.36624 0.147960262    -0.5058560
## 3      846.25954       56.269183550 253.5924 53.33908 0.116351677    -0.4798068
## 4       89.61534        0.003294742  97.9062 22.78204 0.062367094    -0.7988746
## 5      849.76658        7.314871159 248.0444 35.69318 0.517760575    -0.6104055
## 6     1114.94496        3.692755106 238.8065 62.04909 0.692938283    -0.8771918
##   temp_day temp_night tree_cover
## 1 21.85441   13.61666   6.983366
## 2 21.74545   13.03693  22.487329
## 3 21.33945   12.66102  19.374208
## 4 28.82046   16.64645  70.116086
## 5 21.35707   10.84691  36.390875
## 6 30.88368   14.75161  19.789344
str(env_cov)
## 'data.frame':    29 obs. of  13 variables:
##  $ site              : chr  "BE10" "BE11" "BE12" "BE13" ...
##  $ patch.lu          : chr  "park and green area" "park and green area" "park and green area" "park and green area" ...
##  $ patch.area        : num  4762 22108 624 700877 1119276 ...
##  $ pop_100m          : num  240.232 41.952 64.466 0.262 0.164 ...
##  $ distance_water    : num  888 182.7 846.3 89.6 849.8 ...
##  $ impervious_surface: num  85.70816 48.08635 56.26918 0.00329 7.31487 ...
##  $ light             : num  254 253.5 253.6 97.9 248 ...
##  $ noise             : num  52.7 61.4 53.3 22.8 35.7 ...
##  $ open_green        : num  0.00376 0.14796 0.11635 0.06237 0.51776 ...
##  $ temp_cooldown     : num  -0.403 -0.506 -0.48 -0.799 -0.61 ...
##  $ temp_day          : num  21.9 21.7 21.3 28.8 21.4 ...
##  $ temp_night        : num  13.6 13 12.7 16.6 10.8 ...
##  $ tree_cover        : num  6.98 22.49 19.37 70.12 36.39 ...
summary(env_cov)
##      site             patch.lu           patch.area         pop_100m      
##  Length:29          Length:29          Min.   :    624   Min.   :  0.000  
##  Class :character   Class :character   1st Qu.:  22108   1st Qu.:  3.397  
##  Mode  :character   Mode  :character   Median : 332616   Median : 41.952  
##                                        Mean   :1101702   Mean   : 69.344  
##                                        3rd Qu.: 700877   3rd Qu.:118.731  
##                                        Max.   :6995421   Max.   :289.615  
##  distance_water    impervious_surface     light            noise      
##  Min.   :  89.62   Min.   : 0.000     Min.   : 97.91   Min.   :22.78  
##  1st Qu.: 308.95   1st Qu.: 7.315     1st Qu.:238.81   1st Qu.:50.24  
##  Median : 581.60   Median :48.086     Median :253.54   Median :55.76  
##  Mean   : 676.67   Mean   :45.063     Mean   :234.06   Mean   :52.80  
##  3rd Qu.: 894.21   3rd Qu.:69.303     3rd Qu.:254.46   3rd Qu.:60.28  
##  Max.   :1616.58   Max.   :89.406     Max.   :255.00   Max.   :65.45  
##    open_green       temp_cooldown        temp_day       temp_night   
##  Min.   :0.000000   Min.   :-0.9972   Min.   :19.27   Min.   :10.85  
##  1st Qu.:0.004748   1st Qu.:-0.7463   1st Qu.:21.75   1st Qu.:12.71  
##  Median :0.062367   Median :-0.5619   Median :24.36   Median :13.72  
##  Mean   :0.153202   Mean   :-0.6014   Mean   :24.53   Mean   :14.08  
##  3rd Qu.:0.147960   3rd Qu.:-0.4798   3rd Qu.:27.12   3rd Qu.:14.75  
##  Max.   :0.998552   Max.   :-0.3755   Max.   :30.94   Max.   :17.48  
##    tree_cover     
##  Min.   : 0.1246  
##  1st Qu.:14.9442  
##  Median :24.7570  
##  Mean   :30.7382  
##  3rd Qu.:37.6015  
##  Max.   :79.3415

We are going to use three variables to define the ubanization gradient: tree cover, imperviousness and noise.

Prepare the data for the model

colnames(env_cov)
##  [1] "site"               "patch.lu"           "patch.area"        
##  [4] "pop_100m"           "distance_water"     "impervious_surface"
##  [7] "light"              "noise"              "open_green"        
## [10] "temp_cooldown"      "temp_day"           "temp_night"        
## [13] "tree_cover"
# Put all data together: add environmental variables to birds data
#my_model_data <- left_join(birds_est_sprich, env_cov, by = "site")
my_model_data <- merge(birds_est_sprich,env_cov,by = "site")

#select response and explanatory variables
#my_model_data <- dplyr::select(my_model_data, 
#                               c(site, sp_rich, tree_cover, impervious_surface, noise))

my_model_data <- my_model_data[, c('site', 'sp_rich', 'tree_cover', 
                                   'impervious_surface', 'noise')]

str(my_model_data) # do you also have a chr for sp_rich?
## 'data.frame':    29 obs. of  5 variables:
##  $ site              : chr  "BE10" "BE11" "BE12" "BE13" ...
##  $ sp_rich           : chr  "15.4530328501637" "29.9916380379789" "21.4779853454816" "40.5549538797391" ...
##  $ tree_cover        : num  6.98 22.49 19.37 70.12 36.39 ...
##  $ impervious_surface: num  85.70816 48.08635 56.26918 0.00329 7.31487 ...
##  $ noise             : num  52.7 61.4 53.3 22.8 35.7 ...
my_model_data$sp_rich <- as.numeric(my_model_data$sp_rich)
str(my_model_data)
## 'data.frame':    29 obs. of  5 variables:
##  $ site              : chr  "BE10" "BE11" "BE12" "BE13" ...
##  $ sp_rich           : num  15.5 30 21.5 40.6 43.5 ...
##  $ tree_cover        : num  6.98 22.49 19.37 70.12 36.39 ...
##  $ impervious_surface: num  85.70816 48.08635 56.26918 0.00329 7.31487 ...
##  $ noise             : num  52.7 61.4 53.3 22.8 35.7 ...

Define the model

# explore relationships between variables
ggplot(my_model_data, aes(y = sp_rich, x = tree_cover)) +
  geom_point() +
  geom_smooth()

ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)) +
  geom_point() +
  geom_smooth()

ggplot(my_model_data, aes(y = sp_rich, x = noise)) +
  geom_point() +
  geom_smooth()

# build linear regression model
birds_model <- glm(sp_rich ~ tree_cover + impervious_surface + noise,
                    family = "gaussian", 
                    data = my_model_data)

# View results of the model
summary(birds_model)
## 
## Call:
## glm(formula = sp_rich ~ tree_cover + impervious_surface + noise, 
##     family = "gaussian", data = my_model_data)
## 
## Deviance Residuals: 
##     Min       1Q   Median       3Q      Max  
## -8.7059  -5.2982  -0.6035   2.9715  13.6338  
## 
## Coefficients:
##                    Estimate Std. Error t value Pr(>|t|)    
## (Intercept)        38.50520   10.13065   3.801 0.000825 ***
## tree_cover         -0.04464    0.08261  -0.540 0.593673    
## impervious_surface -0.19014    0.05585  -3.405 0.002240 ** 
## noise               0.02430    0.16490   0.147 0.884030    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for gaussian family taken to be 43.14488)
## 
##     Null deviance: 1882.4  on 28  degrees of freedom
## Residual deviance: 1078.6  on 25  degrees of freedom
## AIC: 197.17
## 
## Number of Fisher Scoring iterations: 2
plot(birds_model)

# bird diversity decreases with increasing urbanisation


# view the regression line through impervious surface only:
ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)) +
  geom_point(size=7,alpha=0.5) +
  geom_smooth(method = "lm", se = TRUE, col='red') +
  xlab('impervious surface')

PREDICT the model in Berlin

Load environmental rasters

##
## set working directory for maps, e.g. here geoTiffs ##
tree_raster   <- rast(here::here("data","data_berlin","geo_raster_current_gtif","tree_cover_density_2012_100m_3035.tif"))
imperv_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","imperviousness_2012_100m_3035.tif"))
noise_raster  <- rast(here::here("data","data_berlin","geo_raster_current_gtif","noise_daynight_2017_100m_3035.tif"))
water_raster  <- rast(here::here("data","data_berlin","geo_raster_current_gtif","water_bodies_2010_100m_3035.tif"))

#put all environmental rasters together for the prediction
#many_rasters <- list(x,x)

## this works
my_env_stack <- rast(list(tree_raster, imperv_raster, noise_raster))

# the raster the same name as the variables in the model
names(my_env_stack) <- c("tree_cover", "impervious_surface", "noise")


# the model is fitted with environmental predictor values between 0 and 100
# e.g. tree cover = 88.5 % in a 100*100 m cell
# check: my_model_data
# However, our rasters do not contain decimals (for PC storage and memory reasons)
# so we need to transform them to decimals before we predict our model
# to the whole of Berlin:

my_env_stack_2 <- my_env_stack/100 # correct values of the rasters

Predict the model

sp_rich_pred <- terra::predict(object = my_env_stack_2, 
                                model = birds_model)
sp_rich_pred
## class       : SpatRaster 
## dimensions  : 570, 657, 1  (nrow, ncol, nlyr)
## resolution  : 100, 100  (x, y)
## extent      : 4521040, 4586740, 3243800, 3300800  (xmin, xmax, ymin, ymax)
## coord. ref. : +proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000 +ellps=GRS80 +units=m +no_defs 
## source(s)   : memory
## name        :     lyr1 
## min value   : 16.45406 
## max value   : 40.44094
sp_rich_pred[sp_rich_pred < 0] <- 0 # Abundance cannot be < 0

# define colors
my_palette <- c("#440154FF", "#2D708EFF", "#56C667FF", "#DCE318FF", "#FDE725FF")

# plot map
plot(sp_rich_pred, col = my_palette, breaks = c(seq(5, 55, by = 10)))
plot(water_raster, col = "darkslategray1",  legend=FALSE, add = TRUE)

# writeRaster(sp_rich_pred, my_output_directory)

EXTRA INFO

In iNEXT package also calculates asymptotic diversity metrics. The estimated asymptotes area calculated via the functions

  • ChaoRichness() for q = 0
  • ChaoShannon() for q = 1
  • EstSimpson() for q = 2

For example, to estimate the species richness

ChaoRichness(spider, datatype = "abundance")
##         Observed Estimator Est_s.e. 95% Lower 95% Upper
## Girdled       26    43.893   14.306    30.511    96.971
## Logged        37    61.403   18.532    43.502   128.583

Exercise

Some exercises.

###
## Diversity Analysis Exercise

# 1. Load the data
## - 1.1. the bird data 'birds_berlin_exercise_planillo2021.csv' and explore it (use head(), str())
## - 1.2. the environmental data 'birds_transects_allenvir_100m.csv' and explore it  

# 2. Estimate alpha diversity:
## - 2.1. Choose the diversity index: q = 1 or q = 2
## - 2.2. Rarefy the samples to the appropriate size and estimate the rarefied values

# 3. Predict Hill number 1 or 2 in Berlin
## - 3.1. Choose environmental variables (up to 3) 
## - 3.2. Run model with the diversity values and the environmental variables
## - 3.3. Plot the predictions

#~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~#
#### for those who like challenges
# 4. Estimate beta diversity:
## 4.1. Jaccard dissimilarity (for each pair of sites)
## 4.2. Bray-Curtis dissimilarity (for each pair of sites) 
## 4.3. Compare the output of both beta-diversity metrics



Session Info
Sys.time()
## [1] "2023-03-21 15:38:26 CET"
#git2r::repository() ## uncomment if you are using GitHub
sessionInfo()
## R version 4.2.1 (2022-06-23 ucrt)
## Platform: x86_64-w64-mingw32/x64 (64-bit)
## Running under: Windows 10 x64 (build 19045)
## 
## Matrix products: default
## 
## locale:
## [1] LC_COLLATE=English_Germany.utf8  LC_CTYPE=English_Germany.utf8   
## [3] LC_MONETARY=English_Germany.utf8 LC_NUMERIC=C                    
## [5] LC_TIME=C                       
## 
## attached base packages:
## [1] stats4    stats     graphics  grDevices utils     datasets  methods  
## [8] base     
## 
## other attached packages:
##  [1] paletteer_1.5.0 scico_1.3.1     here_1.0.1      terra_1.7-3    
##  [5] forcats_0.5.2   stringr_1.5.0   dplyr_1.0.10    purrr_1.0.1    
##  [9] readr_2.1.3     tidyr_1.3.0     tibble_3.1.8    ggplot2_3.4.0  
## [13] tidyverse_1.3.2 sads_0.4.2      bbmle_1.0.25    iNEXT_3.0.0    
## [17] vegan_2.6-4     lattice_0.20-45 permute_0.9-7   knitr_1.42     
## 
## loaded via a namespace (and not attached):
##  [1] nlme_3.1-161        fs_1.6.0            lubridate_1.9.1    
##  [4] httr_1.4.4          rprojroot_2.0.3     GUILDS_1.4.5       
##  [7] numDeriv_2016.8-1.1 tools_4.2.1         backports_1.4.1    
## [10] bslib_0.4.2         utf8_1.2.2          R6_2.5.1           
## [13] DBI_1.1.3           mgcv_1.8-41         colorspace_2.1-0   
## [16] withr_2.5.0         tidyselect_1.2.0    compiler_4.2.1     
## [19] textshaping_0.3.6   cli_3.6.0           rvest_1.0.3        
## [22] xml2_1.3.3          prismatic_1.1.1     labeling_0.4.2     
## [25] bookdown_0.32       sass_0.4.5          scales_1.2.1       
## [28] mvtnorm_1.1-3       systemfonts_1.0.4   digest_0.6.31      
## [31] rmarkdown_2.20      pkgconfig_2.0.3     htmltools_0.5.4    
## [34] highr_0.10          dbplyr_2.3.0        fastmap_1.1.0      
## [37] rlang_1.0.6         readxl_1.4.1        rstudioapi_0.14    
## [40] VGAM_1.1-7          farver_2.1.1        jquerylib_0.1.4    
## [43] generics_0.1.3      jsonlite_1.8.4      googlesheets4_1.0.1
## [46] magrittr_2.0.3      Matrix_1.5-3        Rcpp_1.0.10        
## [49] munsell_0.5.0       fansi_1.0.4         lifecycle_1.0.3    
## [52] stringi_1.7.12      yaml_2.3.7          MASS_7.3-58.2      
## [55] plyr_1.8.8          grid_4.2.1          parallel_4.2.1     
## [58] crayon_1.5.2        bdsmatrix_1.3-6     haven_2.5.1        
## [61] splines_4.2.1       hms_1.1.2           pillar_1.8.1       
## [64] codetools_0.2-18    reshape2_1.4.4      reprex_2.0.2       
## [67] glue_1.6.2          evaluate_0.20       modelr_0.1.10      
## [70] vctrs_0.5.2         rmdformats_1.0.4    tzdb_0.3.0         
## [73] cellranger_1.1.0    gtable_0.3.1        rematch2_2.1.2     
## [76] assertthat_0.2.1    cachem_1.0.6        xfun_0.36          
## [79] broom_1.0.3         ragg_1.2.5          googledrive_2.0.0  
## [82] gargle_1.2.1        poilog_0.4.2        cluster_2.1.4      
## [85] timechange_0.2.0    ellipsis_0.3.2